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Finding the Fourth Proportional to 294,560, 441,428.14 and 159,332.15

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Solution

The fourth proportional to 294,560, 441,428.14 and 159,332.15 is: 238,775.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,560 : 441,428.14 = 159,332.15 : x
  2. Step 2: Convert to fraction form
    294,560/441,428.14 = 159,332.15/x
  3. Step 3: Cross multiply
    294,560x = 441,428.14 × 159,332.15
  4. Step 4: Simplify right side
    294,560x = 70,333,694,616.70
  5. Step 5: Solve for x
    x = 70,333,694,616.70/294,560
  6. Step 6: Final answer
    x = 238,775.44

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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.