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Finding the Fourth Proportional to 514,957.11, 772,648.88 and 278,021.16

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Solution

The fourth proportional to 514,957.11, 772,648.88 and 278,021.16 is: 417,146.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,957.11 : 772,648.88 = 278,021.16 : x
  2. Step 2: Convert to fraction form
    514,957.11/772,648.88 = 278,021.16/x
  3. Step 3: Cross multiply
    514,957.11x = 772,648.88 × 278,021.16
  4. Step 4: Simplify right side
    514,957.11x = 214,812,736,500.20
  5. Step 5: Solve for x
    x = 214,812,736,500.20/514,957.11
  6. Step 6: Final answer
    x = 417,146.85

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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.