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Finding the Fourth Proportional to 410,645.60, 614,931.60 and 327,701.60

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Solution

The fourth proportional to 410,645.60, 614,931.60 and 327,701.60 is: 490,725.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,645.60 : 614,931.60 = 327,701.60 : x
  2. Step 2: Convert to fraction form
    410,645.60/614,931.60 = 327,701.60/x
  3. Step 3: Cross multiply
    410,645.60x = 614,931.60 × 327,701.60
  4. Step 4: Simplify right side
    410,645.60x = 201,514,069,210.56
  5. Step 5: Solve for x
    x = 201,514,069,210.56/410,645.60
  6. Step 6: Final answer
    x = 490,725.02

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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.