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Finding the Fourth Proportional to 359,516.12, 538,719.78 and 176,937.28

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Solution

The fourth proportional to 359,516.12, 538,719.78 and 176,937.28 is: 265,133.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,516.12 : 538,719.78 = 176,937.28 : x
  2. Step 2: Convert to fraction form
    359,516.12/538,719.78 = 176,937.28/x
  3. Step 3: Cross multiply
    359,516.12x = 538,719.78 × 176,937.28
  4. Step 4: Simplify right side
    359,516.12x = 95,319,612,555.40
  5. Step 5: Solve for x
    x = 95,319,612,555.40/359,516.12
  6. Step 6: Final answer
    x = 265,133.07

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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.