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Finding the Fourth Proportional to 310,380.60, 465,506.10 and 132,893.40

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Solution

The fourth proportional to 310,380.60, 465,506.10 and 132,893.40 is: 199,312.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,380.60 : 465,506.10 = 132,893.40 : x
  2. Step 2: Convert to fraction form
    310,380.60/465,506.10 = 132,893.40/x
  3. Step 3: Cross multiply
    310,380.60x = 465,506.10 × 132,893.40
  4. Step 4: Simplify right side
    310,380.60x = 61,862,688,349.74
  5. Step 5: Solve for x
    x = 61,862,688,349.74/310,380.60
  6. Step 6: Final answer
    x = 199,312.36

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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.