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Finding the Fourth Proportional to 510,102.40, 764,278.80 and 243,288.40

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Solution

The fourth proportional to 510,102.40, 764,278.80 and 243,288.40 is: 364,515.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,102.40 : 764,278.80 = 243,288.40 : x
  2. Step 2: Convert to fraction form
    510,102.40/764,278.80 = 243,288.40/x
  3. Step 3: Cross multiply
    510,102.40x = 764,278.80 × 243,288.40
  4. Step 4: Simplify right side
    510,102.40x = 185,940,166,405.92
  5. Step 5: Solve for x
    x = 185,940,166,405.92/510,102.40
  6. Step 6: Final answer
    x = 364,515.37

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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.