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Finding the Fourth Proportional to 294,141.40, 441,746.70 and 176,043.40

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Solution

The fourth proportional to 294,141.40, 441,746.70 and 176,043.40 is: 264,385.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,141.40 : 441,746.70 = 176,043.40 : x
  2. Step 2: Convert to fraction form
    294,141.40/441,746.70 = 176,043.40/x
  3. Step 3: Cross multiply
    294,141.40x = 441,746.70 × 176,043.40
  4. Step 4: Simplify right side
    294,141.40x = 77,766,591,006.78
  5. Step 5: Solve for x
    x = 77,766,591,006.78/294,141.40
  6. Step 6: Final answer
    x = 264,385.06

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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.