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Finding the Fourth Proportional to 515,695.14, 711,623.66 and 286,234.38

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Solution

The fourth proportional to 515,695.14, 711,623.66 and 286,234.38 is: 394,983.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,695.14 : 711,623.66 = 286,234.38 : x
  2. Step 2: Convert to fraction form
    515,695.14/711,623.66 = 286,234.38/x
  3. Step 3: Cross multiply
    515,695.14x = 711,623.66 × 286,234.38
  4. Step 4: Simplify right side
    515,695.14x = 203,691,157,113.43
  5. Step 5: Solve for x
    x = 203,691,157,113.43/515,695.14
  6. Step 6: Final answer
    x = 394,983.67

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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.