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Finding the Fourth Proportional to 359,233.11, 538,877.34 and 209,488.41

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Solution

The fourth proportional to 359,233.11, 538,877.34 and 209,488.41 is: 314,248.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,233.11 : 538,877.34 = 209,488.41 : x
  2. Step 2: Convert to fraction form
    359,233.11/538,877.34 = 209,488.41/x
  3. Step 3: Cross multiply
    359,233.11x = 538,877.34 × 209,488.41
  4. Step 4: Simplify right side
    359,233.11x = 112,888,557,141.63
  5. Step 5: Solve for x
    x = 112,888,557,141.63/359,233.11
  6. Step 6: Final answer
    x = 314,248.75

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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.