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Finding the Fourth Proportional to 540,448.56, 810,714.24 and 185,459.76

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Solution

The fourth proportional to 540,448.56, 810,714.24 and 185,459.76 is: 278,203.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,448.56 : 810,714.24 = 185,459.76 : x
  2. Step 2: Convert to fraction form
    540,448.56/810,714.24 = 185,459.76/x
  3. Step 3: Cross multiply
    540,448.56x = 810,714.24 × 185,459.76
  4. Step 4: Simplify right side
    540,448.56x = 150,354,868,378.98
  5. Step 5: Solve for x
    x = 150,354,868,378.98/540,448.56
  6. Step 6: Final answer
    x = 278,203.85

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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.