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Finding the Fourth Proportional to 541,667.14, 812,498.73 and 162,586.24

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Solution

The fourth proportional to 541,667.14, 812,498.73 and 162,586.24 is: 243,878.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,667.14 : 812,498.73 = 162,586.24 : x
  2. Step 2: Convert to fraction form
    541,667.14/812,498.73 = 162,586.24/x
  3. Step 3: Cross multiply
    541,667.14x = 812,498.73 × 162,586.24
  4. Step 4: Simplify right side
    541,667.14x = 132,101,113,515.48
  5. Step 5: Solve for x
    x = 132,101,113,515.48/541,667.14
  6. Step 6: Final answer
    x = 243,878.77

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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.