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Finding the Fourth Proportional to 342,024.80, 513,037.20 and 337,359.20

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Solution

The fourth proportional to 342,024.80, 513,037.20 and 337,359.20 is: 506,038.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,024.80 : 513,037.20 = 337,359.20 : x
  2. Step 2: Convert to fraction form
    342,024.80/513,037.20 = 337,359.20/x
  3. Step 3: Cross multiply
    342,024.80x = 513,037.20 × 337,359.20
  4. Step 4: Simplify right side
    342,024.80x = 173,077,819,362.24
  5. Step 5: Solve for x
    x = 173,077,819,362.24/342,024.80
  6. Step 6: Final answer
    x = 506,038.80

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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.