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Finding the Fourth Proportional to 311,938.20, 467,129.70 and 249,730.20

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Solution

The fourth proportional to 311,938.20, 467,129.70 and 249,730.20 is: 373,972.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,938.20 : 467,129.70 = 249,730.20 : x
  2. Step 2: Convert to fraction form
    311,938.20/467,129.70 = 249,730.20/x
  3. Step 3: Cross multiply
    311,938.20x = 467,129.70 × 249,730.20
  4. Step 4: Simplify right side
    311,938.20x = 116,656,393,406.94
  5. Step 5: Solve for x
    x = 116,656,393,406.94/311,938.20
  6. Step 6: Final answer
    x = 373,972.77

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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.