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Finding the Fourth Proportional to 601,417.08, 829,926.14 and 329,486.31

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Solution

The fourth proportional to 601,417.08, 829,926.14 and 329,486.31 is: 454,674.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,417.08 : 829,926.14 = 329,486.31 : x
  2. Step 2: Convert to fraction form
    601,417.08/829,926.14 = 329,486.31/x
  3. Step 3: Cross multiply
    601,417.08x = 829,926.14 × 329,486.31
  4. Step 4: Simplify right side
    601,417.08x = 273,449,299,793.71
  5. Step 5: Solve for x
    x = 273,449,299,793.71/601,417.08
  6. Step 6: Final answer
    x = 454,674.98

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