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Finding the Fourth Proportional to 469,407.68, 704,400.62 and 185,049.85

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Solution

The fourth proportional to 469,407.68, 704,400.62 and 185,049.85 is: 277,688.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,407.68 : 704,400.62 = 185,049.85 : x
  2. Step 2: Convert to fraction form
    469,407.68/704,400.62 = 185,049.85/x
  3. Step 3: Cross multiply
    469,407.68x = 704,400.62 × 185,049.85
  4. Step 4: Simplify right side
    469,407.68x = 130,349,226,011.53
  5. Step 5: Solve for x
    x = 130,349,226,011.53/469,407.68
  6. Step 6: Final answer
    x = 277,688.74

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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.