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Finding the Fourth Proportional to 542,441.60, 813,071.28 and 463,315.76

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Solution

The fourth proportional to 542,441.60, 813,071.28 and 463,315.76 is: 694,468.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,441.60 : 813,071.28 = 463,315.76 : x
  2. Step 2: Convert to fraction form
    542,441.60/813,071.28 = 463,315.76/x
  3. Step 3: Cross multiply
    542,441.60x = 813,071.28 × 463,315.76
  4. Step 4: Simplify right side
    542,441.60x = 376,708,738,027.37
  5. Step 5: Solve for x
    x = 376,708,738,027.37/542,441.60
  6. Step 6: Final answer
    x = 694,468.75

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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.