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Finding the Fourth Proportional to 546,787.60, 820,181.40 and 458,214.10

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Solution

The fourth proportional to 546,787.60, 820,181.40 and 458,214.10 is: 687,321.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,787.60 : 820,181.40 = 458,214.10 : x
  2. Step 2: Convert to fraction form
    546,787.60/820,181.40 = 458,214.10/x
  3. Step 3: Cross multiply
    546,787.60x = 820,181.40 × 458,214.10
  4. Step 4: Simplify right side
    546,787.60x = 375,818,682,037.74
  5. Step 5: Solve for x
    x = 375,818,682,037.74/546,787.60
  6. Step 6: Final answer
    x = 687,321.15

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Similar ratio
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1.5x scale

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.