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Finding the Fourth Proportional to 515,614.15, 711,536.79 and 286,158.07

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Solution

The fourth proportional to 515,614.15, 711,536.79 and 286,158.07 is: 394,892.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,614.15 : 711,536.79 = 286,158.07 : x
  2. Step 2: Convert to fraction form
    515,614.15/711,536.79 = 286,158.07/x
  3. Step 3: Cross multiply
    515,614.15x = 711,536.79 × 286,158.07
  4. Step 4: Simplify right side
    515,614.15x = 203,611,994,560.40
  5. Step 5: Solve for x
    x = 203,611,994,560.40/515,614.15
  6. Step 6: Final answer
    x = 394,892.18

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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.