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Finding the Fourth Proportional to 469,532.80, 704,299.20 and 137,108.80

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Solution

The fourth proportional to 469,532.80, 704,299.20 and 137,108.80 is: 205,663.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,532.80 : 704,299.20 = 137,108.80 : x
  2. Step 2: Convert to fraction form
    469,532.80/704,299.20 = 137,108.80/x
  3. Step 3: Cross multiply
    469,532.80x = 704,299.20 × 137,108.80
  4. Step 4: Simplify right side
    469,532.80x = 96,565,618,152.96
  5. Step 5: Solve for x
    x = 96,565,618,152.96/469,532.80
  6. Step 6: Final answer
    x = 205,663.20

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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.