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Finding the Fourth Proportional to 546,800.30, 820,200.45 and 493,656.20

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Solution

The fourth proportional to 546,800.30, 820,200.45 and 493,656.20 is: 740,484.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,800.30 : 820,200.45 = 493,656.20 : x
  2. Step 2: Convert to fraction form
    546,800.30/820,200.45 = 493,656.20/x
  3. Step 3: Cross multiply
    546,800.30x = 820,200.45 × 493,656.20
  4. Step 4: Simplify right side
    546,800.30x = 404,897,037,385.29
  5. Step 5: Solve for x
    x = 404,897,037,385.29/546,800.30
  6. Step 6: Final answer
    x = 740,484.30

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