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Finding the Fourth Proportional to 416,924.88, 625,332.03 and 117,429

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Solution

The fourth proportional to 416,924.88, 625,332.03 and 117,429 is: 176,127.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,924.88 : 625,332.03 = 117,429 : x
  2. Step 2: Convert to fraction form
    416,924.88/625,332.03 = 117,429/x
  3. Step 3: Cross multiply
    416,924.88x = 625,332.03 × 117,429
  4. Step 4: Simplify right side
    416,924.88x = 73,432,114,950.87
  5. Step 5: Solve for x
    x = 73,432,114,950.87/416,924.88
  6. Step 6: Final answer
    x = 176,127.93

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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.