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Finding the Fourth Proportional to 465,492.60, 698,238.90 and 433,999.80

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Solution

The fourth proportional to 465,492.60, 698,238.90 and 433,999.80 is: 650,999.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,492.60 : 698,238.90 = 433,999.80 : x
  2. Step 2: Convert to fraction form
    465,492.60/698,238.90 = 433,999.80/x
  3. Step 3: Cross multiply
    465,492.60x = 698,238.90 × 433,999.80
  4. Step 4: Simplify right side
    465,492.60x = 303,035,542,952.22
  5. Step 5: Solve for x
    x = 303,035,542,952.22/465,492.60
  6. Step 6: Final answer
    x = 650,999.70

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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.