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Finding the Fourth Proportional to 654,842.67, 982,264.29 and 294,592.74

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Solution

The fourth proportional to 654,842.67, 982,264.29 and 294,592.74 is: 441,889.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,842.67 : 982,264.29 = 294,592.74 : x
  2. Step 2: Convert to fraction form
    654,842.67/982,264.29 = 294,592.74/x
  3. Step 3: Cross multiply
    654,842.67x = 982,264.29 × 294,592.74
  4. Step 4: Simplify right side
    654,842.67x = 289,367,928,595.26
  5. Step 5: Solve for x
    x = 289,367,928,595.26/654,842.67
  6. Step 6: Final answer
    x = 441,889.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.