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Finding the Fourth Proportional to 349,461.40, 523,753.38 and 149,546.68

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Solution

The fourth proportional to 349,461.40, 523,753.38 and 149,546.68 is: 224,132.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,461.40 : 523,753.38 = 149,546.68 : x
  2. Step 2: Convert to fraction form
    349,461.40/523,753.38 = 149,546.68/x
  3. Step 3: Cross multiply
    349,461.40x = 523,753.38 × 149,546.68
  4. Step 4: Simplify right side
    349,461.40x = 78,325,579,117.78
  5. Step 5: Solve for x
    x = 78,325,579,117.78/349,461.40
  6. Step 6: Final answer
    x = 224,132.28

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1.5x scale

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.