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Finding the Fourth Proportional to 342,826.20, 514,530.90 and 153,577.80

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Solution

The fourth proportional to 342,826.20, 514,530.90 and 153,577.80 is: 230,497.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,826.20 : 514,530.90 = 153,577.80 : x
  2. Step 2: Convert to fraction form
    342,826.20/514,530.90 = 153,577.80/x
  3. Step 3: Cross multiply
    342,826.20x = 514,530.90 × 153,577.80
  4. Step 4: Simplify right side
    342,826.20x = 79,020,523,654.02
  5. Step 5: Solve for x
    x = 79,020,523,654.02/342,826.20
  6. Step 6: Final answer
    x = 230,497.33

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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.