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Finding the Fourth Proportional to 330,167.80, 494,814.30 and 292,551.40

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Solution

The fourth proportional to 330,167.80, 494,814.30 and 292,551.40 is: 438,439.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,167.80 : 494,814.30 = 292,551.40 : x
  2. Step 2: Convert to fraction form
    330,167.80/494,814.30 = 292,551.40/x
  3. Step 3: Cross multiply
    330,167.80x = 494,814.30 × 292,551.40
  4. Step 4: Simplify right side
    330,167.80x = 144,758,616,205.02
  5. Step 5: Solve for x
    x = 144,758,616,205.02/330,167.80
  6. Step 6: Final answer
    x = 438,439.53

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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.