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Finding the Fourth Proportional to 469,841.33, 704,267.55 and 299,192.78

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Solution

The fourth proportional to 469,841.33, 704,267.55 and 299,192.78 is: 448,474.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,841.33 : 704,267.55 = 299,192.78 : x
  2. Step 2: Convert to fraction form
    469,841.33/704,267.55 = 299,192.78/x
  3. Step 3: Cross multiply
    469,841.33x = 704,267.55 × 299,192.78
  4. Step 4: Simplify right side
    469,841.33x = 210,711,762,626.95
  5. Step 5: Solve for x
    x = 210,711,762,626.95/469,841.33
  6. Step 6: Final answer
    x = 448,474.31

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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.