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Finding the Fourth Proportional to 506,078.20, 759,117.30 and 206,459.20

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Solution

The fourth proportional to 506,078.20, 759,117.30 and 206,459.20 is: 309,688.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,078.20 : 759,117.30 = 206,459.20 : x
  2. Step 2: Convert to fraction form
    506,078.20/759,117.30 = 206,459.20/x
  3. Step 3: Cross multiply
    506,078.20x = 759,117.30 × 206,459.20
  4. Step 4: Simplify right side
    506,078.20x = 156,726,750,464.16
  5. Step 5: Solve for x
    x = 156,726,750,464.16/506,078.20
  6. Step 6: Final answer
    x = 309,688.80

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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.