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Finding the Fourth Proportional to 465,491.60, 698,237.40 and 433,998.80

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Solution

The fourth proportional to 465,491.60, 698,237.40 and 433,998.80 is: 650,998.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,491.60 : 698,237.40 = 433,998.80 : x
  2. Step 2: Convert to fraction form
    465,491.60/698,237.40 = 433,998.80/x
  3. Step 3: Cross multiply
    465,491.60x = 698,237.40 × 433,998.80
  4. Step 4: Simplify right side
    465,491.60x = 303,034,193,715.12
  5. Step 5: Solve for x
    x = 303,034,193,715.12/465,491.60
  6. Step 6: Final answer
    x = 650,998.20

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.