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Finding the Fourth Proportional to 294,565.17, 441,435.89 and 159,337.34

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Solution

The fourth proportional to 294,565.17, 441,435.89 and 159,337.34 is: 238,783.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,565.17 : 441,435.89 = 159,337.34 : x
  2. Step 2: Convert to fraction form
    294,565.17/441,435.89 = 159,337.34/x
  3. Step 3: Cross multiply
    294,565.17x = 441,435.89 × 159,337.34
  4. Step 4: Simplify right side
    294,565.17x = 70,337,221,995.07
  5. Step 5: Solve for x
    x = 70,337,221,995.07/294,565.17
  6. Step 6: Final answer
    x = 238,783.23

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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.