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Finding the Fourth Proportional to 542,509.40, 748,632.96 and 300,777.84

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Solution

The fourth proportional to 542,509.40, 748,632.96 and 300,777.84 is: 415,056.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,509.40 : 748,632.96 = 300,777.84 : x
  2. Step 2: Convert to fraction form
    542,509.40/748,632.96 = 300,777.84/x
  3. Step 3: Cross multiply
    542,509.40x = 748,632.96 × 300,777.84
  4. Step 4: Simplify right side
    542,509.40x = 225,172,204,661.61
  5. Step 5: Solve for x
    x = 225,172,204,661.61/542,509.40
  6. Step 6: Final answer
    x = 415,056.78

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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.