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Finding the Fourth Proportional to 541,854.24, 812,820.28 and 186,863.10

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Solution

The fourth proportional to 541,854.24, 812,820.28 and 186,863.10 is: 280,308.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,854.24 : 812,820.28 = 186,863.10 : x
  2. Step 2: Convert to fraction form
    541,854.24/812,820.28 = 186,863.10/x
  3. Step 3: Cross multiply
    541,854.24x = 812,820.28 × 186,863.10
  4. Step 4: Simplify right side
    541,854.24x = 151,886,117,263.67
  5. Step 5: Solve for x
    x = 151,886,117,263.67/541,854.24
  6. Step 6: Final answer
    x = 280,308.07

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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.