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Finding the Fourth Proportional to 347,458.26, 521,192.88 and 137,094.38

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Solution

The fourth proportional to 347,458.26, 521,192.88 and 137,094.38 is: 205,643.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,458.26 : 521,192.88 = 137,094.38 : x
  2. Step 2: Convert to fraction form
    347,458.26/521,192.88 = 137,094.38/x
  3. Step 3: Cross multiply
    347,458.26x = 521,192.88 × 137,094.38
  4. Step 4: Simplify right side
    347,458.26x = 71,452,614,744.01
  5. Step 5: Solve for x
    x = 71,452,614,744.01/347,458.26
  6. Step 6: Final answer
    x = 205,643.74

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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.