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Finding the Fourth Proportional to 524,065.92, 723,236.61 and 294,695.42

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Solution

The fourth proportional to 524,065.92, 723,236.61 and 294,695.42 is: 406,694.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,065.92 : 723,236.61 = 294,695.42 : x
  2. Step 2: Convert to fraction form
    524,065.92/723,236.61 = 294,695.42/x
  3. Step 3: Cross multiply
    524,065.92x = 723,236.61 × 294,695.42
  4. Step 4: Simplify right side
    524,065.92x = 213,134,514,032.25
  5. Step 5: Solve for x
    x = 213,134,514,032.25/524,065.92
  6. Step 6: Final answer
    x = 406,694.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.