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Finding the Fourth Proportional to 465,329.68, 698,065.40 and 237,500.84

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Solution

The fourth proportional to 465,329.68, 698,065.40 and 237,500.84 is: 356,287.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,329.68 : 698,065.40 = 237,500.84 : x
  2. Step 2: Convert to fraction form
    465,329.68/698,065.40 = 237,500.84/x
  3. Step 3: Cross multiply
    465,329.68x = 698,065.40 × 237,500.84
  4. Step 4: Simplify right side
    465,329.68x = 165,791,118,874.94
  5. Step 5: Solve for x
    x = 165,791,118,874.94/465,329.68
  6. Step 6: Final answer
    x = 356,287.44

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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.