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Finding the Fourth Proportional to 515,925.99, 711,938.84 and 289,527.75

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Solution

The fourth proportional to 515,925.99, 711,938.84 and 289,527.75 is: 399,526.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,925.99 : 711,938.84 = 289,527.75 : x
  2. Step 2: Convert to fraction form
    515,925.99/711,938.84 = 289,527.75/x
  3. Step 3: Cross multiply
    515,925.99x = 711,938.84 × 289,527.75
  4. Step 4: Simplify right side
    515,925.99x = 206,126,049,035.17
  5. Step 5: Solve for x
    x = 206,126,049,035.17/515,925.99
  6. Step 6: Final answer
    x = 399,526.39

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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.