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Finding the Fourth Proportional to 515,542.37, 711,423.32 and 286,096.91

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Solution

The fourth proportional to 515,542.37, 711,423.32 and 286,096.91 is: 394,799.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,542.37 : 711,423.32 = 286,096.91 : x
  2. Step 2: Convert to fraction form
    515,542.37/711,423.32 = 286,096.91/x
  3. Step 3: Cross multiply
    515,542.37x = 711,423.32 × 286,096.91
  4. Step 4: Simplify right side
    515,542.37x = 203,536,008,566.34
  5. Step 5: Solve for x
    x = 203,536,008,566.34/515,542.37
  6. Step 6: Final answer
    x = 394,799.77

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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.