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Finding the Fourth Proportional to 711,608.36, 982,374.90 and 409,744.04

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Solution

The fourth proportional to 711,608.36, 982,374.90 and 409,744.04 is: 565,651.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,608.36 : 982,374.90 = 409,744.04 : x
  2. Step 2: Convert to fraction form
    711,608.36/982,374.90 = 409,744.04/x
  3. Step 3: Cross multiply
    711,608.36x = 982,374.90 × 409,744.04
  4. Step 4: Simplify right side
    711,608.36x = 402,522,260,320.60
  5. Step 5: Solve for x
    x = 402,522,260,320.60/711,608.36
  6. Step 6: Final answer
    x = 565,651.39

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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.