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Finding the Fourth Proportional to 650,204.16, 897,356.16 and 363,796.80

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Solution

The fourth proportional to 650,204.16, 897,356.16 and 363,796.80 is: 502,081.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,204.16 : 897,356.16 = 363,796.80 : x
  2. Step 2: Convert to fraction form
    650,204.16/897,356.16 = 363,796.80/x
  3. Step 3: Cross multiply
    650,204.16x = 897,356.16 × 363,796.80
  4. Step 4: Simplify right side
    650,204.16x = 326,455,299,468.29
  5. Step 5: Solve for x
    x = 326,455,299,468.29/650,204.16
  6. Step 6: Final answer
    x = 502,081.22

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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.