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Finding the Fourth Proportional to 340,305.31, 509,566.15 and 239,922.01

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Solution

The fourth proportional to 340,305.31, 509,566.15 and 239,922.01 is: 359,254.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,305.31 : 509,566.15 = 239,922.01 : x
  2. Step 2: Convert to fraction form
    340,305.31/509,566.15 = 239,922.01/x
  3. Step 3: Cross multiply
    340,305.31x = 509,566.15 × 239,922.01
  4. Step 4: Simplify right side
    340,305.31x = 122,256,134,935.96
  5. Step 5: Solve for x
    x = 122,256,134,935.96/340,305.31
  6. Step 6: Final answer
    x = 359,254.27

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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.