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Finding the Fourth Proportional to 349,240.83, 523,423.17 and 149,326.54

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Solution

The fourth proportional to 349,240.83, 523,423.17 and 149,326.54 is: 223,802.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,240.83 : 523,423.17 = 149,326.54 : x
  2. Step 2: Convert to fraction form
    349,240.83/523,423.17 = 149,326.54/x
  3. Step 3: Cross multiply
    349,240.83x = 523,423.17 × 149,326.54
  4. Step 4: Simplify right side
    349,240.83x = 78,160,970,931.93
  5. Step 5: Solve for x
    x = 78,160,970,931.93/349,240.83
  6. Step 6: Final answer
    x = 223,802.50

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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.