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Finding the Fourth Proportional to 312,043.80, 468,065.70 and 272,677.80

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Solution

The fourth proportional to 312,043.80, 468,065.70 and 272,677.80 is: 409,016.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,043.80 : 468,065.70 = 272,677.80 : x
  2. Step 2: Convert to fraction form
    312,043.80/468,065.70 = 272,677.80/x
  3. Step 3: Cross multiply
    312,043.80x = 468,065.70 × 272,677.80
  4. Step 4: Simplify right side
    312,043.80x = 127,631,125,331.46
  5. Step 5: Solve for x
    x = 127,631,125,331.46/312,043.80
  6. Step 6: Final answer
    x = 409,016.70

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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.