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Finding the Fourth Proportional to 472,350, 708,522.36 and 117,363.86

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Solution

The fourth proportional to 472,350, 708,522.36 and 117,363.86 is: 176,045.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,350 : 708,522.36 = 117,363.86 : x
  2. Step 2: Convert to fraction form
    472,350/708,522.36 = 117,363.86/x
  3. Step 3: Cross multiply
    472,350x = 708,522.36 × 117,363.86
  4. Step 4: Simplify right side
    472,350x = 83,154,919,065.91
  5. Step 5: Solve for x
    x = 83,154,919,065.91/472,350
  6. Step 6: Final answer
    x = 176,045.13

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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.