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Finding the Fourth Proportional to 305,701.71, 458,125.43 and 260,486.97

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Solution

The fourth proportional to 305,701.71, 458,125.43 and 260,486.97 is: 390,366.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,701.71 : 458,125.43 = 260,486.97 : x
  2. Step 2: Convert to fraction form
    305,701.71/458,125.43 = 260,486.97/x
  3. Step 3: Cross multiply
    305,701.71x = 458,125.43 × 260,486.97
  4. Step 4: Simplify right side
    305,701.71x = 119,335,703,838.21
  5. Step 5: Solve for x
    x = 119,335,703,838.21/305,701.71
  6. Step 6: Final answer
    x = 390,366.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.