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Finding the Fourth Proportional to 359,184.96, 538,898.40 and 225,908.16

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Solution

The fourth proportional to 359,184.96, 538,898.40 and 225,908.16 is: 338,938.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,184.96 : 538,898.40 = 225,908.16 : x
  2. Step 2: Convert to fraction form
    359,184.96/538,898.40 = 225,908.16/x
  3. Step 3: Cross multiply
    359,184.96x = 538,898.40 × 225,908.16
  4. Step 4: Simplify right side
    359,184.96x = 121,741,545,970.94
  5. Step 5: Solve for x
    x = 121,741,545,970.94/359,184.96
  6. Step 6: Final answer
    x = 338,938.32

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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.