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Finding the Fourth Proportional to 541,971.96, 813,462.12 and 275,931.48

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Solution

The fourth proportional to 541,971.96, 813,462.12 and 275,931.48 is: 414,153.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,971.96 : 813,462.12 = 275,931.48 : x
  2. Step 2: Convert to fraction form
    541,971.96/813,462.12 = 275,931.48/x
  3. Step 3: Cross multiply
    541,971.96x = 813,462.12 × 275,931.48
  4. Step 4: Simplify right side
    541,971.96x = 224,459,806,695.54
  5. Step 5: Solve for x
    x = 224,459,806,695.54/541,971.96
  6. Step 6: Final answer
    x = 414,153.91

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1.5x scale

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.