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Finding the Fourth Proportional to 601,046.15, 829,462.46 and 329,139.86

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Solution

The fourth proportional to 601,046.15, 829,462.46 and 329,139.86 is: 454,223.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,046.15 : 829,462.46 = 329,139.86 : x
  2. Step 2: Convert to fraction form
    601,046.15/829,462.46 = 329,139.86/x
  3. Step 3: Cross multiply
    601,046.15x = 829,462.46 × 329,139.86
  4. Step 4: Simplify right side
    601,046.15x = 273,009,155,406.62
  5. Step 5: Solve for x
    x = 273,009,155,406.62/601,046.15
  6. Step 6: Final answer
    x = 454,223.28

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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.