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Finding the Fourth Proportional to 295,223.80, 442,835.70 and 176,834.20

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Solution

The fourth proportional to 295,223.80, 442,835.70 and 176,834.20 is: 265,251.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,223.80 : 442,835.70 = 176,834.20 : x
  2. Step 2: Convert to fraction form
    295,223.80/442,835.70 = 176,834.20/x
  3. Step 3: Cross multiply
    295,223.80x = 442,835.70 × 176,834.20
  4. Step 4: Simplify right side
    295,223.80x = 78,308,496,740.94
  5. Step 5: Solve for x
    x = 78,308,496,740.94/295,223.80
  6. Step 6: Final answer
    x = 265,251.30

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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.