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Finding the Fourth Proportional to 465,951.42, 698,013.71 and 241,459.11

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Solution

The fourth proportional to 465,951.42, 698,013.71 and 241,459.11 is: 361,715.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,951.42 : 698,013.71 = 241,459.11 : x
  2. Step 2: Convert to fraction form
    465,951.42/698,013.71 = 241,459.11/x
  3. Step 3: Cross multiply
    465,951.42x = 698,013.71 × 241,459.11
  4. Step 4: Simplify right side
    465,951.42x = 168,541,767,977.10
  5. Step 5: Solve for x
    x = 168,541,767,977.10/465,951.42
  6. Step 6: Final answer
    x = 361,715.32

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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.