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Finding the Fourth Proportional to 469,778.24, 704,864.80 and 292,433.60

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Solution

The fourth proportional to 469,778.24, 704,864.80 and 292,433.60 is: 438,773.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,778.24 : 704,864.80 = 292,433.60 : x
  2. Step 2: Convert to fraction form
    469,778.24/704,864.80 = 292,433.60/x
  3. Step 3: Cross multiply
    469,778.24x = 704,864.80 × 292,433.60
  4. Step 4: Simplify right side
    469,778.24x = 206,126,150,977.28
  5. Step 5: Solve for x
    x = 206,126,150,977.28/469,778.24
  6. Step 6: Final answer
    x = 438,773.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.