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Finding the Fourth Proportional to 471,700.40, 650,948.06 and 256,841.75

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Solution

The fourth proportional to 471,700.40, 650,948.06 and 256,841.75 is: 354,442.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,700.40 : 650,948.06 = 256,841.75 : x
  2. Step 2: Convert to fraction form
    471,700.40/650,948.06 = 256,841.75/x
  3. Step 3: Cross multiply
    471,700.40x = 650,948.06 × 256,841.75
  4. Step 4: Simplify right side
    471,700.40x = 167,190,641,158.98
  5. Step 5: Solve for x
    x = 167,190,641,158.98/471,700.40
  6. Step 6: Final answer
    x = 354,442.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.