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Finding the Fourth Proportional to 359,013.36, 538,619.80 and 156,627.12

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Solution

The fourth proportional to 359,013.36, 538,619.80 and 156,627.12 is: 234,984.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,013.36 : 538,619.80 = 156,627.12 : x
  2. Step 2: Convert to fraction form
    359,013.36/538,619.80 = 156,627.12/x
  3. Step 3: Cross multiply
    359,013.36x = 538,619.80 × 156,627.12
  4. Step 4: Simplify right side
    359,013.36x = 84,362,468,048.98
  5. Step 5: Solve for x
    x = 84,362,468,048.98/359,013.36
  6. Step 6: Final answer
    x = 234,984.20

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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.