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Finding the Fourth Proportional to 610,494.96, 842,423 and 338,558.10

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Solution

The fourth proportional to 610,494.96, 842,423 and 338,558.10 is: 467,176.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,494.96 : 842,423 = 338,558.10 : x
  2. Step 2: Convert to fraction form
    610,494.96/842,423 = 338,558.10/x
  3. Step 3: Cross multiply
    610,494.96x = 842,423 × 338,558.10
  4. Step 4: Simplify right side
    610,494.96x = 285,209,130,276.30
  5. Step 5: Solve for x
    x = 285,209,130,276.30/610,494.96
  6. Step 6: Final answer
    x = 467,176.88

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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.