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Finding the Fourth Proportional to 462,816.47, 638,745.89 and 258,878.72

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Solution

The fourth proportional to 462,816.47, 638,745.89 and 258,878.72 is: 357,285.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,816.47 : 638,745.89 = 258,878.72 : x
  2. Step 2: Convert to fraction form
    462,816.47/638,745.89 = 258,878.72/x
  3. Step 3: Cross multiply
    462,816.47x = 638,745.89 × 258,878.72
  4. Step 4: Simplify right side
    462,816.47x = 165,357,713,920.34
  5. Step 5: Solve for x
    x = 165,357,713,920.34/462,816.47
  6. Step 6: Final answer
    x = 357,285.72

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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.