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Finding the Fourth Proportional to 458,005.59, 688,081.82 and 432,124.07

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Solution

The fourth proportional to 458,005.59, 688,081.82 and 432,124.07 is: 649,198.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,005.59 : 688,081.82 = 432,124.07 : x
  2. Step 2: Convert to fraction form
    458,005.59/688,081.82 = 432,124.07/x
  3. Step 3: Cross multiply
    458,005.59x = 688,081.82 × 432,124.07
  4. Step 4: Simplify right side
    458,005.59x = 297,336,710,950.38
  5. Step 5: Solve for x
    x = 297,336,710,950.38/458,005.59
  6. Step 6: Final answer
    x = 649,198.87

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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.