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Finding the Fourth Proportional to 594,083.28, 891,358.20 and 261,426

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Solution

The fourth proportional to 594,083.28, 891,358.20 and 261,426 is: 392,241.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,083.28 : 891,358.20 = 261,426 : x
  2. Step 2: Convert to fraction form
    594,083.28/891,358.20 = 261,426/x
  3. Step 3: Cross multiply
    594,083.28x = 891,358.20 × 261,426
  4. Step 4: Simplify right side
    594,083.28x = 233,024,208,793.20
  5. Step 5: Solve for x
    x = 233,024,208,793.20/594,083.28
  6. Step 6: Final answer
    x = 392,241.65

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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.