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Finding the Fourth Proportional to 610,214.40, 915,321.60 and 386,265.60

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Solution

The fourth proportional to 610,214.40, 915,321.60 and 386,265.60 is: 579,398.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,214.40 : 915,321.60 = 386,265.60 : x
  2. Step 2: Convert to fraction form
    610,214.40/915,321.60 = 386,265.60/x
  3. Step 3: Cross multiply
    610,214.40x = 915,321.60 × 386,265.60
  4. Step 4: Simplify right side
    610,214.40x = 353,557,247,016.96
  5. Step 5: Solve for x
    x = 353,557,247,016.96/610,214.40
  6. Step 6: Final answer
    x = 579,398.40

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Why These Related Problems?

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