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Finding the Fourth Proportional to 349,045.78, 523,084.28 and 159,041.80

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Solution

The fourth proportional to 349,045.78, 523,084.28 and 159,041.80 is: 238,341.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,045.78 : 523,084.28 = 159,041.80 : x
  2. Step 2: Convert to fraction form
    349,045.78/523,084.28 = 159,041.80/x
  3. Step 3: Cross multiply
    349,045.78x = 523,084.28 × 159,041.80
  4. Step 4: Simplify right side
    349,045.78x = 83,192,265,442.90
  5. Step 5: Solve for x
    x = 83,192,265,442.90/349,045.78
  6. Step 6: Final answer
    x = 238,341.99

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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.