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Finding the Fourth Proportional to 294,124.40, 441,721.20 and 176,026.40

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Solution

The fourth proportional to 294,124.40, 441,721.20 and 176,026.40 is: 264,359.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,124.40 : 441,721.20 = 176,026.40 : x
  2. Step 2: Convert to fraction form
    294,124.40/441,721.20 = 176,026.40/x
  3. Step 3: Cross multiply
    294,124.40x = 441,721.20 × 176,026.40
  4. Step 4: Simplify right side
    294,124.40x = 77,754,592,639.68
  5. Step 5: Solve for x
    x = 77,754,592,639.68/294,124.40
  6. Step 6: Final answer
    x = 264,359.55

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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.