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Finding the Fourth Proportional to 541,463.16, 811,306.98 and 383,407.86

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Solution

The fourth proportional to 541,463.16, 811,306.98 and 383,407.86 is: 574,483.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,463.16 : 811,306.98 = 383,407.86 : x
  2. Step 2: Convert to fraction form
    541,463.16/811,306.98 = 383,407.86/x
  3. Step 3: Cross multiply
    541,463.16x = 811,306.98 × 383,407.86
  4. Step 4: Simplify right side
    541,463.16x = 311,061,473,004.86
  5. Step 5: Solve for x
    x = 311,061,473,004.86/541,463.16
  6. Step 6: Final answer
    x = 574,483.17

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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.