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Finding the Fourth Proportional to 525,704.31, 725,471.24 and 299,349.81

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Solution

The fourth proportional to 525,704.31, 725,471.24 and 299,349.81 is: 413,102.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,704.31 : 725,471.24 = 299,349.81 : x
  2. Step 2: Convert to fraction form
    525,704.31/725,471.24 = 299,349.81/x
  3. Step 3: Cross multiply
    525,704.31x = 725,471.24 × 299,349.81
  4. Step 4: Simplify right side
    525,704.31x = 217,169,676,357.72
  5. Step 5: Solve for x
    x = 217,169,676,357.72/525,704.31
  6. Step 6: Final answer
    x = 413,102.33

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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.