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Finding the Fourth Proportional to 407,921.60, 612,101.10 and 171,288.20

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Solution

The fourth proportional to 407,921.60, 612,101.10 and 171,288.20 is: 257,024.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,921.60 : 612,101.10 = 171,288.20 : x
  2. Step 2: Convert to fraction form
    407,921.60/612,101.10 = 171,288.20/x
  3. Step 3: Cross multiply
    407,921.60x = 612,101.10 × 171,288.20
  4. Step 4: Simplify right side
    407,921.60x = 104,845,695,637.02
  5. Step 5: Solve for x
    x = 104,845,695,637.02/407,921.60
  6. Step 6: Final answer
    x = 257,024.13

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1.5x scale

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.