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Finding the Fourth Proportional to 465,935.70, 698,903.55 and 306,503.40

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Solution

The fourth proportional to 465,935.70, 698,903.55 and 306,503.40 is: 459,755.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,935.70 : 698,903.55 = 306,503.40 : x
  2. Step 2: Convert to fraction form
    465,935.70/698,903.55 = 306,503.40/x
  3. Step 3: Cross multiply
    465,935.70x = 698,903.55 × 306,503.40
  4. Step 4: Simplify right side
    465,935.70x = 214,216,314,347.07
  5. Step 5: Solve for x
    x = 214,216,314,347.07/465,935.70
  6. Step 6: Final answer
    x = 459,755.10

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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.