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Finding the Fourth Proportional to 542,188.80, 748,222.47 and 300,475.47

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Solution

The fourth proportional to 542,188.80, 748,222.47 and 300,475.47 is: 414,657.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,188.80 : 748,222.47 = 300,475.47 : x
  2. Step 2: Convert to fraction form
    542,188.80/748,222.47 = 300,475.47/x
  3. Step 3: Cross multiply
    542,188.80x = 748,222.47 × 300,475.47
  4. Step 4: Simplify right side
    542,188.80x = 224,822,498,337.81
  5. Step 5: Solve for x
    x = 224,822,498,337.81/542,188.80
  6. Step 6: Final answer
    x = 414,657.22

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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.