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Finding the Fourth Proportional to 410,587.60, 614,844.60 and 327,643.60

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Solution

The fourth proportional to 410,587.60, 614,844.60 and 327,643.60 is: 490,638.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,587.60 : 614,844.60 = 327,643.60 : x
  2. Step 2: Convert to fraction form
    410,587.60/614,844.60 = 327,643.60/x
  3. Step 3: Cross multiply
    410,587.60x = 614,844.60 × 327,643.60
  4. Step 4: Simplify right side
    410,587.60x = 201,449,898,184.56
  5. Step 5: Solve for x
    x = 201,449,898,184.56/410,587.60
  6. Step 6: Final answer
    x = 490,638.05

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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.