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Finding the Fourth Proportional to 349,264.32, 523,458.06 and 149,349.54

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Solution

The fourth proportional to 349,264.32, 523,458.06 and 149,349.54 is: 223,836.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,264.32 : 523,458.06 = 149,349.54 : x
  2. Step 2: Convert to fraction form
    349,264.32/523,458.06 = 149,349.54/x
  3. Step 3: Cross multiply
    349,264.32x = 523,458.06 × 149,349.54
  4. Step 4: Simplify right side
    349,264.32x = 78,178,220,470.29
  5. Step 5: Solve for x
    x = 78,178,220,470.29/349,264.32
  6. Step 6: Final answer
    x = 223,836.84

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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.