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Finding the Fourth Proportional to 515,614.51, 711,537.30 and 286,158.48

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Solution

The fourth proportional to 515,614.51, 711,537.30 and 286,158.48 is: 394,892.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,614.51 : 711,537.30 = 286,158.48 : x
  2. Step 2: Convert to fraction form
    515,614.51/711,537.30 = 286,158.48/x
  3. Step 3: Cross multiply
    515,614.51x = 711,537.30 × 286,158.48
  4. Step 4: Simplify right side
    515,614.51x = 203,612,432,231.30
  5. Step 5: Solve for x
    x = 203,612,432,231.30/515,614.51
  6. Step 6: Final answer
    x = 394,892.75

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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.