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Finding the Fourth Proportional to 516,036.96, 712,126.08 and 289,680.84

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Solution

The fourth proportional to 516,036.96, 712,126.08 and 289,680.84 is: 399,756.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,036.96 : 712,126.08 = 289,680.84 : x
  2. Step 2: Convert to fraction form
    516,036.96/712,126.08 = 289,680.84/x
  3. Step 3: Cross multiply
    516,036.96x = 712,126.08 × 289,680.84
  4. Step 4: Simplify right side
    516,036.96x = 206,289,281,040.31
  5. Step 5: Solve for x
    x = 206,289,281,040.31/516,036.96
  6. Step 6: Final answer
    x = 399,756.79

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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.