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Finding the Fourth Proportional to 546,922.80, 820,384.20 and 458,349.30

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Solution

The fourth proportional to 546,922.80, 820,384.20 and 458,349.30 is: 687,523.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,922.80 : 820,384.20 = 458,349.30 : x
  2. Step 2: Convert to fraction form
    546,922.80/820,384.20 = 458,349.30/x
  3. Step 3: Cross multiply
    546,922.80x = 820,384.20 × 458,349.30
  4. Step 4: Simplify right side
    546,922.80x = 376,022,523,801.06
  5. Step 5: Solve for x
    x = 376,022,523,801.06/546,922.80
  6. Step 6: Final answer
    x = 687,523.95

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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.