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Finding the Fourth Proportional to 515,711, 711,693.44 and 289,373.24

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Solution

The fourth proportional to 515,711, 711,693.44 and 289,373.24 is: 399,341.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,711 : 711,693.44 = 289,373.24 : x
  2. Step 2: Convert to fraction form
    515,711/711,693.44 = 289,373.24/x
  3. Step 3: Cross multiply
    515,711x = 711,693.44 × 289,373.24
  4. Step 4: Simplify right side
    515,711x = 205,945,036,619.55
  5. Step 5: Solve for x
    x = 205,945,036,619.55/515,711
  6. Step 6: Final answer
    x = 399,341.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.