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Finding the Fourth Proportional to 338,822.88, 508,048.68 and 156,255.51

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Solution

The fourth proportional to 338,822.88, 508,048.68 and 156,255.51 is: 234,297.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,822.88 : 508,048.68 = 156,255.51 : x
  2. Step 2: Convert to fraction form
    338,822.88/508,048.68 = 156,255.51/x
  3. Step 3: Cross multiply
    338,822.88x = 508,048.68 × 156,255.51
  4. Step 4: Simplify right side
    338,822.88x = 79,385,405,598.23
  5. Step 5: Solve for x
    x = 79,385,405,598.23/338,822.88
  6. Step 6: Final answer
    x = 234,297.65

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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.