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Finding the Fourth Proportional to 472,550.10, 708,830.55 and 117,564.90

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Solution

The fourth proportional to 472,550.10, 708,830.55 and 117,564.90 is: 176,348.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,550.10 : 708,830.55 = 117,564.90 : x
  2. Step 2: Convert to fraction form
    472,550.10/708,830.55 = 117,564.90/x
  3. Step 3: Cross multiply
    472,550.10x = 708,830.55 × 117,564.90
  4. Step 4: Simplify right side
    472,550.10x = 83,333,592,727.70
  5. Step 5: Solve for x
    x = 83,333,592,727.70/472,550.10
  6. Step 6: Final answer
    x = 176,348.69

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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.