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Finding the Fourth Proportional to 417,498.59, 626,288.88 and 117,981.47

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Solution

The fourth proportional to 417,498.59, 626,288.88 and 117,981.47 is: 176,983.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,498.59 : 626,288.88 = 117,981.47 : x
  2. Step 2: Convert to fraction form
    417,498.59/626,288.88 = 117,981.47/x
  3. Step 3: Cross multiply
    417,498.59x = 626,288.88 × 117,981.47
  4. Step 4: Simplify right side
    417,498.59x = 73,890,482,707.05
  5. Step 5: Solve for x
    x = 73,890,482,707.05/417,498.59
  6. Step 6: Final answer
    x = 176,983.79

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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.