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Finding the Fourth Proportional to 359,381.80, 538,359.90 and 315,058.60

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Solution

The fourth proportional to 359,381.80, 538,359.90 and 315,058.60 is: 471,963.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,381.80 : 538,359.90 = 315,058.60 : x
  2. Step 2: Convert to fraction form
    359,381.80/538,359.90 = 315,058.60/x
  3. Step 3: Cross multiply
    359,381.80x = 538,359.90 × 315,058.60
  4. Step 4: Simplify right side
    359,381.80x = 169,614,916,390.14
  5. Step 5: Solve for x
    x = 169,614,916,390.14/359,381.80
  6. Step 6: Final answer
    x = 471,963.01

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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.