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Finding the Fourth Proportional to 462,914.80, 638,807.60 and 258,961.34

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Solution

The fourth proportional to 462,914.80, 638,807.60 and 258,961.34 is: 357,358.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,914.80 : 638,807.60 = 258,961.34 : x
  2. Step 2: Convert to fraction form
    462,914.80/638,807.60 = 258,961.34/x
  3. Step 3: Cross multiply
    462,914.80x = 638,807.60 × 258,961.34
  4. Step 4: Simplify right side
    462,914.80x = 165,426,472,098.18
  5. Step 5: Solve for x
    x = 165,426,472,098.18/462,914.80
  6. Step 6: Final answer
    x = 357,358.36

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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.