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Finding the Fourth Proportional to 610,477.92, 842,459.58 and 338,587.38

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Solution

The fourth proportional to 610,477.92, 842,459.58 and 338,587.38 is: 467,250.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,477.92 : 842,459.58 = 338,587.38 : x
  2. Step 2: Convert to fraction form
    610,477.92/842,459.58 = 338,587.38/x
  3. Step 3: Cross multiply
    610,477.92x = 842,459.58 × 338,587.38
  4. Step 4: Simplify right side
    610,477.92x = 285,246,181,948.10
  5. Step 5: Solve for x
    x = 285,246,181,948.10/610,477.92
  6. Step 6: Final answer
    x = 467,250.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.