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Finding the Fourth Proportional to 294,705.88, 442,140.36 and 117,337.36

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Solution

The fourth proportional to 294,705.88, 442,140.36 and 117,337.36 is: 176,038.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,705.88 : 442,140.36 = 117,337.36 : x
  2. Step 2: Convert to fraction form
    294,705.88/442,140.36 = 117,337.36/x
  3. Step 3: Cross multiply
    294,705.88x = 442,140.36 × 117,337.36
  4. Step 4: Simplify right side
    294,705.88x = 51,879,582,591.85
  5. Step 5: Solve for x
    x = 51,879,582,591.85/294,705.88
  6. Step 6: Final answer
    x = 176,038.51

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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.