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Finding the Fourth Proportional to 541,462.72, 812,332.32 and 162,382

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Solution

The fourth proportional to 541,462.72, 812,332.32 and 162,382 is: 243,614.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,462.72 : 812,332.32 = 162,382 : x
  2. Step 2: Convert to fraction form
    541,462.72/812,332.32 = 162,382/x
  3. Step 3: Cross multiply
    541,462.72x = 812,332.32 × 162,382
  4. Step 4: Simplify right side
    541,462.72x = 131,908,146,786.24
  5. Step 5: Solve for x
    x = 131,908,146,786.24/541,462.72
  6. Step 6: Final answer
    x = 243,614.46

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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.