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Finding the Fourth Proportional to 309,038.40, 462,974.40 and 288,043.20

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Solution

The fourth proportional to 309,038.40, 462,974.40 and 288,043.20 is: 431,521.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,038.40 : 462,974.40 = 288,043.20 : x
  2. Step 2: Convert to fraction form
    309,038.40/462,974.40 = 288,043.20/x
  3. Step 3: Cross multiply
    309,038.40x = 462,974.40 × 288,043.20
  4. Step 4: Simplify right side
    309,038.40x = 133,356,627,694.08
  5. Step 5: Solve for x
    x = 133,356,627,694.08/309,038.40
  6. Step 6: Final answer
    x = 431,521.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.