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Finding the Fourth Proportional to 410,970.12, 566,978.58 and 257,919

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Solution

The fourth proportional to 410,970.12, 566,978.58 and 257,919 is: 355,827.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,970.12 : 566,978.58 = 257,919 : x
  2. Step 2: Convert to fraction form
    410,970.12/566,978.58 = 257,919/x
  3. Step 3: Cross multiply
    410,970.12x = 566,978.58 × 257,919
  4. Step 4: Simplify right side
    410,970.12x = 146,234,548,375.02
  5. Step 5: Solve for x
    x = 146,234,548,375.02/410,970.12
  6. Step 6: Final answer
    x = 355,827.69

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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.