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Finding the Fourth Proportional to 409,985.60, 614,978.40 and 327,041.60

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Solution

The fourth proportional to 409,985.60, 614,978.40 and 327,041.60 is: 490,562.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,985.60 : 614,978.40 = 327,041.60 : x
  2. Step 2: Convert to fraction form
    409,985.60/614,978.40 = 327,041.60/x
  3. Step 3: Cross multiply
    409,985.60x = 614,978.40 × 327,041.60
  4. Step 4: Simplify right side
    409,985.60x = 201,123,519,901.44
  5. Step 5: Solve for x
    x = 201,123,519,901.44/409,985.60
  6. Step 6: Final answer
    x = 490,562.40

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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.