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Finding the Fourth Proportional to 576,156.84, 864,251.22 and 155,431.50

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Solution

The fourth proportional to 576,156.84, 864,251.22 and 155,431.50 is: 233,151.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,156.84 : 864,251.22 = 155,431.50 : x
  2. Step 2: Convert to fraction form
    576,156.84/864,251.22 = 155,431.50/x
  3. Step 3: Cross multiply
    576,156.84x = 864,251.22 × 155,431.50
  4. Step 4: Simplify right side
    576,156.84x = 134,331,863,501.43
  5. Step 5: Solve for x
    x = 134,331,863,501.43/576,156.84
  6. Step 6: Final answer
    x = 233,151.56

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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.