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Finding the Fourth Proportional to 488,568.60, 732,852.90 and 409,836.60

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Solution

The fourth proportional to 488,568.60, 732,852.90 and 409,836.60 is: 614,754.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,568.60 : 732,852.90 = 409,836.60 : x
  2. Step 2: Convert to fraction form
    488,568.60/732,852.90 = 409,836.60/x
  3. Step 3: Cross multiply
    488,568.60x = 732,852.90 × 409,836.60
  4. Step 4: Simplify right side
    488,568.60x = 300,349,940,836.14
  5. Step 5: Solve for x
    x = 300,349,940,836.14/488,568.60
  6. Step 6: Final answer
    x = 614,754.90

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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.