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Finding the Fourth Proportional to 542,984.84, 749,319.22 and 301,266.87

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Solution

The fourth proportional to 542,984.84, 749,319.22 and 301,266.87 is: 415,748.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,984.84 : 749,319.22 = 301,266.87 : x
  2. Step 2: Convert to fraction form
    542,984.84/749,319.22 = 301,266.87/x
  3. Step 3: Cross multiply
    542,984.84x = 749,319.22 × 301,266.87
  4. Step 4: Simplify right side
    542,984.84x = 225,745,056,040.24
  5. Step 5: Solve for x
    x = 225,745,056,040.24/542,984.84
  6. Step 6: Final answer
    x = 415,748.36

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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.