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Finding the Fourth Proportional to 542,847.59, 749,069.20 and 301,069.58

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Solution

The fourth proportional to 542,847.59, 749,069.20 and 301,069.58 is: 415,442.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,847.59 : 749,069.20 = 301,069.58 : x
  2. Step 2: Convert to fraction form
    542,847.59/749,069.20 = 301,069.58/x
  3. Step 3: Cross multiply
    542,847.59x = 749,069.20 × 301,069.58
  4. Step 4: Simplify right side
    542,847.59x = 225,521,946,065.93
  5. Step 5: Solve for x
    x = 225,521,946,065.93/542,847.59
  6. Step 6: Final answer
    x = 415,442.48

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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.