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Finding the Fourth Proportional to 537,125.10, 804,715.65 and 256,022.70

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Solution

The fourth proportional to 537,125.10, 804,715.65 and 256,022.70 is: 383,570.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,125.10 : 804,715.65 = 256,022.70 : x
  2. Step 2: Convert to fraction form
    537,125.10/804,715.65 = 256,022.70/x
  3. Step 3: Cross multiply
    537,125.10x = 804,715.65 × 256,022.70
  4. Step 4: Simplify right side
    537,125.10x = 206,025,473,445.26
  5. Step 5: Solve for x
    x = 206,025,473,445.26/537,125.10
  6. Step 6: Final answer
    x = 383,570.74

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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.