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Finding the Fourth Proportional to 292,856.80, 438,410.40 and 174,467.20

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Solution

The fourth proportional to 292,856.80, 438,410.40 and 174,467.20 is: 261,179.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,856.80 : 438,410.40 = 174,467.20 : x
  2. Step 2: Convert to fraction form
    292,856.80/438,410.40 = 174,467.20/x
  3. Step 3: Cross multiply
    292,856.80x = 438,410.40 × 174,467.20
  4. Step 4: Simplify right side
    292,856.80x = 76,488,234,938.88
  5. Step 5: Solve for x
    x = 76,488,234,938.88/292,856.80
  6. Step 6: Final answer
    x = 261,179.64

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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.