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Finding the Fourth Proportional to 472,564.10, 708,910.95 and 156,988.10

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Solution

The fourth proportional to 472,564.10, 708,910.95 and 156,988.10 is: 235,503.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,564.10 : 708,910.95 = 156,988.10 : x
  2. Step 2: Convert to fraction form
    472,564.10/708,910.95 = 156,988.10/x
  3. Step 3: Cross multiply
    472,564.10x = 708,910.95 × 156,988.10
  4. Step 4: Simplify right side
    472,564.10x = 111,290,583,109.70
  5. Step 5: Solve for x
    x = 111,290,583,109.70/472,564.10
  6. Step 6: Final answer
    x = 235,503.68

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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.