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Finding the Fourth Proportional to 601,033.15, 829,410.19 and 329,097.93

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Solution

The fourth proportional to 601,033.15, 829,410.19 and 329,097.93 is: 454,146.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,033.15 : 829,410.19 = 329,097.93 : x
  2. Step 2: Convert to fraction form
    601,033.15/829,410.19 = 329,097.93/x
  3. Step 3: Cross multiply
    601,033.15x = 829,410.19 × 329,097.93
  4. Step 4: Simplify right side
    601,033.15x = 272,957,176,649.91
  5. Step 5: Solve for x
    x = 272,957,176,649.91/601,033.15
  6. Step 6: Final answer
    x = 454,146.63

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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.