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Finding the Fourth Proportional to 702,910.32, 969,977.88 and 416,456.88

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Solution

The fourth proportional to 702,910.32, 969,977.88 and 416,456.88 is: 574,687.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,910.32 : 969,977.88 = 416,456.88 : x
  2. Step 2: Convert to fraction form
    702,910.32/969,977.88 = 416,456.88/x
  3. Step 3: Cross multiply
    702,910.32x = 969,977.88 × 416,456.88
  4. Step 4: Simplify right side
    702,910.32x = 403,953,961,573.81
  5. Step 5: Solve for x
    x = 403,953,961,573.81/702,910.32
  6. Step 6: Final answer
    x = 574,687.77

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1.5x scale

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.