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Finding the Fourth Proportional to 702,909.32, 969,976.50 and 416,455.88

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Solution

The fourth proportional to 702,909.32, 969,976.50 and 416,455.88 is: 574,686.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,909.32 : 969,976.50 = 416,455.88 : x
  2. Step 2: Convert to fraction form
    702,909.32/969,976.50 = 416,455.88/x
  3. Step 3: Cross multiply
    702,909.32x = 969,976.50 × 416,455.88
  4. Step 4: Simplify right side
    702,909.32x = 403,952,416,886.82
  5. Step 5: Solve for x
    x = 403,952,416,886.82/702,909.32
  6. Step 6: Final answer
    x = 574,686.39

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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.