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Finding the Fourth Proportional to 614,151.34, 847,534.89 and 359,507.86

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Solution

The fourth proportional to 614,151.34, 847,534.89 and 359,507.86 is: 496,124.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,151.34 : 847,534.89 = 359,507.86 : x
  2. Step 2: Convert to fraction form
    614,151.34/847,534.89 = 359,507.86/x
  3. Step 3: Cross multiply
    614,151.34x = 847,534.89 × 359,507.86
  4. Step 4: Simplify right side
    614,151.34x = 304,695,454,579.24
  5. Step 5: Solve for x
    x = 304,695,454,579.24/614,151.34
  6. Step 6: Final answer
    x = 496,124.38

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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.