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Finding the Fourth Proportional to 614,182.14, 847,753.86 and 387,978.30

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Solution

The fourth proportional to 614,182.14, 847,753.86 and 387,978.30 is: 535,525.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,182.14 : 847,753.86 = 387,978.30 : x
  2. Step 2: Convert to fraction form
    614,182.14/847,753.86 = 387,978.30/x
  3. Step 3: Cross multiply
    614,182.14x = 847,753.86 × 387,978.30
  4. Step 4: Simplify right side
    614,182.14x = 328,910,101,421.24
  5. Step 5: Solve for x
    x = 328,910,101,421.24/614,182.14
  6. Step 6: Final answer
    x = 535,525.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.