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Finding the Fourth Proportional to 474,908.16, 712,124.16 and 264,691.20

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Solution

The fourth proportional to 474,908.16, 712,124.16 and 264,691.20 is: 396,904.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,908.16 : 712,124.16 = 264,691.20 : x
  2. Step 2: Convert to fraction form
    474,908.16/712,124.16 = 264,691.20/x
  3. Step 3: Cross multiply
    474,908.16x = 712,124.16 × 264,691.20
  4. Step 4: Simplify right side
    474,908.16x = 188,492,998,459.39
  5. Step 5: Solve for x
    x = 188,492,998,459.39/474,908.16
  6. Step 6: Final answer
    x = 396,904.11

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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.