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Finding the Fourth Proportional to 614,008.56, 916,695.60 and 469,156.29

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Solution

The fourth proportional to 614,008.56, 916,695.60 and 469,156.29 is: 700,435.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,008.56 : 916,695.60 = 469,156.29 : x
  2. Step 2: Convert to fraction form
    614,008.56/916,695.60 = 469,156.29/x
  3. Step 3: Cross multiply
    614,008.56x = 916,695.60 × 469,156.29
  4. Step 4: Simplify right side
    614,008.56x = 430,073,504,291.26
  5. Step 5: Solve for x
    x = 430,073,504,291.26/614,008.56
  6. Step 6: Final answer
    x = 700,435.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.