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Finding the Fourth Proportional to 340,599.25, 510,898.56 and 160,642.69

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Solution

The fourth proportional to 340,599.25, 510,898.56 and 160,642.69 is: 240,963.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,599.25 : 510,898.56 = 160,642.69 : x
  2. Step 2: Convert to fraction form
    340,599.25/510,898.56 = 160,642.69/x
  3. Step 3: Cross multiply
    340,599.25x = 510,898.56 × 160,642.69
  4. Step 4: Simplify right side
    340,599.25x = 82,072,118,995.53
  5. Step 5: Solve for x
    x = 82,072,118,995.53/340,599.25
  6. Step 6: Final answer
    x = 240,963.89

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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.