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Finding the Fourth Proportional to 711,850.44, 982,258.74 and 409,986.12

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Solution

The fourth proportional to 711,850.44, 982,258.74 and 409,986.12 is: 565,726.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,850.44 : 982,258.74 = 409,986.12 : x
  2. Step 2: Convert to fraction form
    711,850.44/982,258.74 = 409,986.12/x
  3. Step 3: Cross multiply
    711,850.44x = 982,258.74 × 409,986.12
  4. Step 4: Simplify right side
    711,850.44x = 402,712,449,648.69
  5. Step 5: Solve for x
    x = 402,712,449,648.69/711,850.44
  6. Step 6: Final answer
    x = 565,726.21

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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.