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Finding the Fourth Proportional to 702,905.32, 969,970.98 and 416,451.88

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Solution

The fourth proportional to 702,905.32, 969,970.98 and 416,451.88 is: 574,680.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,905.32 : 969,970.98 = 416,451.88 : x
  2. Step 2: Convert to fraction form
    702,905.32/969,970.98 = 416,451.88/x
  3. Step 3: Cross multiply
    702,905.32x = 969,970.98 × 416,451.88
  4. Step 4: Simplify right side
    702,905.32x = 403,946,238,166.44
  5. Step 5: Solve for x
    x = 403,946,238,166.44/702,905.32
  6. Step 6: Final answer
    x = 574,680.87

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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.