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Finding the Fourth Proportional to 340,324.80, 510,506.40 and 103,675.20

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Solution

The fourth proportional to 340,324.80, 510,506.40 and 103,675.20 is: 155,518.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,324.80 : 510,506.40 = 103,675.20 : x
  2. Step 2: Convert to fraction form
    340,324.80/510,506.40 = 103,675.20/x
  3. Step 3: Cross multiply
    340,324.80x = 510,506.40 × 103,675.20
  4. Step 4: Simplify right side
    340,324.80x = 52,926,853,121.28
  5. Step 5: Solve for x
    x = 52,926,853,121.28/340,324.80
  6. Step 6: Final answer
    x = 155,518.65

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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.