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Finding the Fourth Proportional to 541,411.16, 811,660.10 and 341,290.53

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Solution

The fourth proportional to 541,411.16, 811,660.10 and 341,290.53 is: 511,647.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,411.16 : 811,660.10 = 341,290.53 : x
  2. Step 2: Convert to fraction form
    541,411.16/811,660.10 = 341,290.53/x
  3. Step 3: Cross multiply
    541,411.16x = 811,660.10 × 341,290.53
  4. Step 4: Simplify right side
    541,411.16x = 277,011,904,002.40
  5. Step 5: Solve for x
    x = 277,011,904,002.40/541,411.16
  6. Step 6: Final answer
    x = 511,647.94

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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.