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Finding the Fourth Proportional to 410,656.60, 614,948.10 and 327,712.60

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Solution

The fourth proportional to 410,656.60, 614,948.10 and 327,712.60 is: 490,741.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,656.60 : 614,948.10 = 327,712.60 : x
  2. Step 2: Convert to fraction form
    410,656.60/614,948.10 = 327,712.60/x
  3. Step 3: Cross multiply
    410,656.60x = 614,948.10 × 327,712.60
  4. Step 4: Simplify right side
    410,656.60x = 201,526,240,716.06
  5. Step 5: Solve for x
    x = 201,526,240,716.06/410,656.60
  6. Step 6: Final answer
    x = 490,741.51

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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.