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Finding the Fourth Proportional to 359,135.17, 538,339.16 and 232,855.36

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Solution

The fourth proportional to 359,135.17, 538,339.16 and 232,855.36 is: 349,047.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,135.17 : 538,339.16 = 232,855.36 : x
  2. Step 2: Convert to fraction form
    359,135.17/538,339.16 = 232,855.36/x
  3. Step 3: Cross multiply
    359,135.17x = 538,339.16 × 232,855.36
  4. Step 4: Simplify right side
    359,135.17x = 125,355,158,140.19
  5. Step 5: Solve for x
    x = 125,355,158,140.19/359,135.17
  6. Step 6: Final answer
    x = 349,047.29

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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.