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Finding the Fourth Proportional to 469,886.05, 704,251.95 and 185,290.93

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Solution

The fourth proportional to 469,886.05, 704,251.95 and 185,290.93 is: 277,708.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,886.05 : 704,251.95 = 185,290.93 : x
  2. Step 2: Convert to fraction form
    469,886.05/704,251.95 = 185,290.93/x
  3. Step 3: Cross multiply
    469,886.05x = 704,251.95 × 185,290.93
  4. Step 4: Simplify right side
    469,886.05x = 130,491,498,769.81
  5. Step 5: Solve for x
    x = 130,491,498,769.81/469,886.05
  6. Step 6: Final answer
    x = 277,708.82

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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.