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Finding the Fourth Proportional to 469,842.33, 704,269.05 and 299,193.78

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Solution

The fourth proportional to 469,842.33, 704,269.05 and 299,193.78 is: 448,475.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,842.33 : 704,269.05 = 299,193.78 : x
  2. Step 2: Convert to fraction form
    469,842.33/704,269.05 = 299,193.78/x
  3. Step 3: Cross multiply
    469,842.33x = 704,269.05 × 299,193.78
  4. Step 4: Simplify right side
    469,842.33x = 210,712,919,206.51
  5. Step 5: Solve for x
    x = 210,712,919,206.51/469,842.33
  6. Step 6: Final answer
    x = 448,475.81

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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.