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Finding the Fourth Proportional to 702,908.32, 969,975.12 and 416,454.88

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Solution

The fourth proportional to 702,908.32, 969,975.12 and 416,454.88 is: 574,685.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,908.32 : 969,975.12 = 416,454.88 : x
  2. Step 2: Convert to fraction form
    702,908.32/969,975.12 = 416,454.88/x
  3. Step 3: Cross multiply
    702,908.32x = 969,975.12 × 416,454.88
  4. Step 4: Simplify right side
    702,908.32x = 403,950,872,202.59
  5. Step 5: Solve for x
    x = 403,950,872,202.59/702,908.32
  6. Step 6: Final answer
    x = 574,685.01

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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.