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Finding the Fourth Proportional to 475,207.13, 712,751.22 and 155,332.24

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Solution

The fourth proportional to 475,207.13, 712,751.22 and 155,332.24 is: 232,978.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,207.13 : 712,751.22 = 155,332.24 : x
  2. Step 2: Convert to fraction form
    475,207.13/712,751.22 = 155,332.24/x
  3. Step 3: Cross multiply
    475,207.13x = 712,751.22 × 155,332.24
  4. Step 4: Simplify right side
    475,207.13x = 110,713,241,783.46
  5. Step 5: Solve for x
    x = 110,713,241,783.46/475,207.13
  6. Step 6: Final answer
    x = 232,978.91

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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.