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Finding the Fourth Proportional to 295,865.60, 443,506.80 and 145,983.20

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Solution

The fourth proportional to 295,865.60, 443,506.80 and 145,983.20 is: 218,830.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,865.60 : 443,506.80 = 145,983.20 : x
  2. Step 2: Convert to fraction form
    295,865.60/443,506.80 = 145,983.20/x
  3. Step 3: Cross multiply
    295,865.60x = 443,506.80 × 145,983.20
  4. Step 4: Simplify right side
    295,865.60x = 64,744,541,885.76
  5. Step 5: Solve for x
    x = 64,744,541,885.76/295,865.60
  6. Step 6: Final answer
    x = 218,830.92

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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.