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Finding the Fourth Proportional to 340,542.70, 510,923.40 and 150,929.80

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Solution

The fourth proportional to 340,542.70, 510,923.40 and 150,929.80 is: 226,443.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,542.70 : 510,923.40 = 150,929.80 : x
  2. Step 2: Convert to fraction form
    340,542.70/510,923.40 = 150,929.80/x
  3. Step 3: Cross multiply
    340,542.70x = 510,923.40 × 150,929.80
  4. Step 4: Simplify right side
    340,542.70x = 77,113,566,577.32
  5. Step 5: Solve for x
    x = 77,113,566,577.32/340,542.70
  6. Step 6: Final answer
    x = 226,443.16

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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.