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Finding the Fourth Proportional to 451,502.40, 677,253.60 and 410,168.10

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Solution

The fourth proportional to 451,502.40, 677,253.60 and 410,168.10 is: 615,252.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,502.40 : 677,253.60 = 410,168.10 : x
  2. Step 2: Convert to fraction form
    451,502.40/677,253.60 = 410,168.10/x
  3. Step 3: Cross multiply
    451,502.40x = 677,253.60 × 410,168.10
  4. Step 4: Simplify right side
    451,502.40x = 277,787,822,330.16
  5. Step 5: Solve for x
    x = 277,787,822,330.16/451,502.40
  6. Step 6: Final answer
    x = 615,252.15

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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.