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Finding the Fourth Proportional to 542,707.48, 748,972.34 and 301,000.24

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Solution

The fourth proportional to 542,707.48, 748,972.34 and 301,000.24 is: 415,400.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,707.48 : 748,972.34 = 301,000.24 : x
  2. Step 2: Convert to fraction form
    542,707.48/748,972.34 = 301,000.24/x
  3. Step 3: Cross multiply
    542,707.48x = 748,972.34 × 301,000.24
  4. Step 4: Simplify right side
    542,707.48x = 225,440,854,093.36
  5. Step 5: Solve for x
    x = 225,440,854,093.36/542,707.48
  6. Step 6: Final answer
    x = 415,400.31

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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.