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Finding the Fourth Proportional to 847,025, 1,270,537.50 and 256,049

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Solution

The fourth proportional to 847,025, 1,270,537.50 and 256,049 is: 384,073.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,025 : 1,270,537.50 = 256,049 : x
  2. Step 2: Convert to fraction form
    847,025/1,270,537.50 = 256,049/x
  3. Step 3: Cross multiply
    847,025x = 1,270,537.50 × 256,049
  4. Step 4: Simplify right side
    847,025x = 325,319,856,337.50
  5. Step 5: Solve for x
    x = 325,319,856,337.50/847,025
  6. Step 6: Final answer
    x = 384,073.50

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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.