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Finding the Fourth Proportional to 312,050.80, 468,338.78 and 292,367.80

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Solution

The fourth proportional to 312,050.80, 468,338.78 and 292,367.80 is: 438,797.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,050.80 : 468,338.78 = 292,367.80 : x
  2. Step 2: Convert to fraction form
    312,050.80/468,338.78 = 292,367.80/x
  3. Step 3: Cross multiply
    312,050.80x = 468,338.78 × 292,367.80
  4. Step 4: Simplify right side
    312,050.80x = 136,927,178,763.28
  5. Step 5: Solve for x
    x = 136,927,178,763.28/312,050.80
  6. Step 6: Final answer
    x = 438,797.72

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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.