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Finding the Fourth Proportional to 340,429.88, 511,097.16 and 290,828.72

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Solution

The fourth proportional to 340,429.88, 511,097.16 and 290,828.72 is: 436,629.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,429.88 : 511,097.16 = 290,828.72 : x
  2. Step 2: Convert to fraction form
    340,429.88/511,097.16 = 290,828.72/x
  3. Step 3: Cross multiply
    340,429.88x = 511,097.16 × 290,828.72
  4. Step 4: Simplify right side
    340,429.88x = 148,641,732,838.44
  5. Step 5: Solve for x
    x = 148,641,732,838.44/340,429.88
  6. Step 6: Final answer
    x = 436,629.51

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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.