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Finding the Fourth Proportional to 541,461.89, 811,790.29 and 328,177.45

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Solution

The fourth proportional to 541,461.89, 811,790.29 and 328,177.45 is: 492,022.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,461.89 : 811,790.29 = 328,177.45 : x
  2. Step 2: Convert to fraction form
    541,461.89/811,790.29 = 328,177.45/x
  3. Step 3: Cross multiply
    541,461.89x = 811,790.29 × 328,177.45
  4. Step 4: Simplify right side
    541,461.89x = 266,411,267,306.96
  5. Step 5: Solve for x
    x = 266,411,267,306.96/541,461.89
  6. Step 6: Final answer
    x = 492,022.19

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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.