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Finding the Fourth Proportional to 542,011.78, 812,855.64 and 162,831.10

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Solution

The fourth proportional to 542,011.78, 812,855.64 and 162,831.10 is: 244,197.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,011.78 : 812,855.64 = 162,831.10 : x
  2. Step 2: Convert to fraction form
    542,011.78/812,855.64 = 162,831.10/x
  3. Step 3: Cross multiply
    542,011.78x = 812,855.64 × 162,831.10
  4. Step 4: Simplify right side
    542,011.78x = 132,358,178,002.40
  5. Step 5: Solve for x
    x = 132,358,178,002.40/542,011.78
  6. Step 6: Final answer
    x = 244,197.97

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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.