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Finding the Fourth Proportional to 515,473.68, 711,319.49 and 286,016.42

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Solution

The fourth proportional to 515,473.68, 711,319.49 and 286,016.42 is: 394,683.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,473.68 : 711,319.49 = 286,016.42 : x
  2. Step 2: Convert to fraction form
    515,473.68/711,319.49 = 286,016.42/x
  3. Step 3: Cross multiply
    515,473.68x = 711,319.49 × 286,016.42
  4. Step 4: Simplify right side
    515,473.68x = 203,449,049,019.35
  5. Step 5: Solve for x
    x = 203,449,049,019.35/515,473.68
  6. Step 6: Final answer
    x = 394,683.68

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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.