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Finding the Fourth Proportional to 462,813.43, 638,741.69 and 258,875.68

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Solution

The fourth proportional to 462,813.43, 638,741.69 and 258,875.68 is: 357,281.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,813.43 : 638,741.69 = 258,875.68 : x
  2. Step 2: Convert to fraction form
    462,813.43/638,741.69 = 258,875.68/x
  3. Step 3: Cross multiply
    462,813.43x = 638,741.69 × 258,875.68
  4. Step 4: Simplify right side
    462,813.43x = 165,354,689,343.10
  5. Step 5: Solve for x
    x = 165,354,689,343.10/462,813.43
  6. Step 6: Final answer
    x = 357,281.53

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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.