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Finding the Fourth Proportional to 359,304.32, 538,864.52 and 106,525.73

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Solution

The fourth proportional to 359,304.32, 538,864.52 and 106,525.73 is: 159,761.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,304.32 : 538,864.52 = 106,525.73 : x
  2. Step 2: Convert to fraction form
    359,304.32/538,864.52 = 106,525.73/x
  3. Step 3: Cross multiply
    359,304.32x = 538,864.52 × 106,525.73
  4. Step 4: Simplify right side
    359,304.32x = 57,402,937,178.63
  5. Step 5: Solve for x
    x = 57,402,937,178.63/359,304.32
  6. Step 6: Final answer
    x = 159,761.33

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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.