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Finding the Fourth Proportional to 486,435.60, 729,655.83 and 219,884.04

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Solution

The fourth proportional to 486,435.60, 729,655.83 and 219,884.04 is: 329,827.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,435.60 : 729,655.83 = 219,884.04 : x
  2. Step 2: Convert to fraction form
    486,435.60/729,655.83 = 219,884.04/x
  3. Step 3: Cross multiply
    486,435.60x = 729,655.83 × 219,884.04
  4. Step 4: Simplify right side
    486,435.60x = 160,439,671,709.95
  5. Step 5: Solve for x
    x = 160,439,671,709.95/486,435.60
  6. Step 6: Final answer
    x = 329,827.16

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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.