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Finding the Fourth Proportional to 565,951.47, 781,070.32 and 324,266.10

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Solution

The fourth proportional to 565,951.47, 781,070.32 and 324,266.10 is: 447,520.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,951.47 : 781,070.32 = 324,266.10 : x
  2. Step 2: Convert to fraction form
    565,951.47/781,070.32 = 324,266.10/x
  3. Step 3: Cross multiply
    565,951.47x = 781,070.32 × 324,266.10
  4. Step 4: Simplify right side
    565,951.47x = 253,274,626,492.15
  5. Step 5: Solve for x
    x = 253,274,626,492.15/565,951.47
  6. Step 6: Final answer
    x = 447,520.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.