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Finding the Fourth Proportional to 643,569.40, 965,354.10 and 407,956.60

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Solution

The fourth proportional to 643,569.40, 965,354.10 and 407,956.60 is: 611,934.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,569.40 : 965,354.10 = 407,956.60 : x
  2. Step 2: Convert to fraction form
    643,569.40/965,354.10 = 407,956.60/x
  3. Step 3: Cross multiply
    643,569.40x = 965,354.10 × 407,956.60
  4. Step 4: Simplify right side
    643,569.40x = 393,822,576,432.06
  5. Step 5: Solve for x
    x = 393,822,576,432.06/643,569.40
  6. Step 6: Final answer
    x = 611,934.90

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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.