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Finding the Fourth Proportional to 340,467.70, 510,810.90 and 150,854.80

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Solution

The fourth proportional to 340,467.70, 510,810.90 and 150,854.80 is: 226,330.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,467.70 : 510,810.90 = 150,854.80 : x
  2. Step 2: Convert to fraction form
    340,467.70/510,810.90 = 150,854.80/x
  3. Step 3: Cross multiply
    340,467.70x = 510,810.90 × 150,854.80
  4. Step 4: Simplify right side
    340,467.70x = 77,058,276,157.32
  5. Step 5: Solve for x
    x = 77,058,276,157.32/340,467.70
  6. Step 6: Final answer
    x = 226,330.65

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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.