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Finding the Fourth Proportional to 922,624.76, 1,384,167.56 and 257,771

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Solution

The fourth proportional to 922,624.76, 1,384,167.56 and 257,771 is: 386,720.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,624.76 : 1,384,167.56 = 257,771 : x
  2. Step 2: Convert to fraction form
    922,624.76/1,384,167.56 = 257,771/x
  3. Step 3: Cross multiply
    922,624.76x = 1,384,167.56 × 257,771
  4. Step 4: Simplify right side
    922,624.76x = 356,798,256,108.76
  5. Step 5: Solve for x
    x = 356,798,256,108.76/922,624.76
  6. Step 6: Final answer
    x = 386,720.88

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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.