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Finding the Fourth Proportional to 515,713.99, 711,697.58 and 289,376.23

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Solution

The fourth proportional to 515,713.99, 711,697.58 and 289,376.23 is: 399,346.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,713.99 : 711,697.58 = 289,376.23 : x
  2. Step 2: Convert to fraction form
    515,713.99/711,697.58 = 289,376.23/x
  3. Step 3: Cross multiply
    515,713.99x = 711,697.58 × 289,376.23
  4. Step 4: Simplify right side
    515,713.99x = 205,948,362,600.52
  5. Step 5: Solve for x
    x = 205,948,362,600.52/515,713.99
  6. Step 6: Final answer
    x = 399,346.08

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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.