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Finding the Fourth Proportional to 507,925.28, 762,002.74 and 255,326.78

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Solution

The fourth proportional to 507,925.28, 762,002.74 and 255,326.78 is: 383,047.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,925.28 : 762,002.74 = 255,326.78 : x
  2. Step 2: Convert to fraction form
    507,925.28/762,002.74 = 255,326.78/x
  3. Step 3: Cross multiply
    507,925.28x = 762,002.74 × 255,326.78
  4. Step 4: Simplify right side
    507,925.28x = 194,559,708,179.54
  5. Step 5: Solve for x
    x = 194,559,708,179.54/507,925.28
  6. Step 6: Final answer
    x = 383,047.89

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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.