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Finding the Fourth Proportional to 542,553, 748,732.16 and 300,845.76

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Solution

The fourth proportional to 542,553, 748,732.16 and 300,845.76 is: 415,172.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,553 : 748,732.16 = 300,845.76 : x
  2. Step 2: Convert to fraction form
    542,553/748,732.16 = 300,845.76/x
  3. Step 3: Cross multiply
    542,553x = 748,732.16 × 300,845.76
  4. Step 4: Simplify right side
    542,553x = 225,252,895,711.64
  5. Step 5: Solve for x
    x = 225,252,895,711.64/542,553
  6. Step 6: Final answer
    x = 415,172.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.