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Finding the Fourth Proportional to 429,049.44, 592,114.32 and 247,794.48

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Solution

The fourth proportional to 429,049.44, 592,114.32 and 247,794.48 is: 341,971.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,049.44 : 592,114.32 = 247,794.48 : x
  2. Step 2: Convert to fraction form
    429,049.44/592,114.32 = 247,794.48/x
  3. Step 3: Cross multiply
    429,049.44x = 592,114.32 × 247,794.48
  4. Step 4: Simplify right side
    429,049.44x = 146,722,660,024.95
  5. Step 5: Solve for x
    x = 146,722,660,024.95/429,049.44
  6. Step 6: Final answer
    x = 341,971.45

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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.