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Finding the Fourth Proportional to 338,041.68, 466,601.28 and 194,897.28

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Solution

The fourth proportional to 338,041.68, 466,601.28 and 194,897.28 is: 269,018.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,041.68 : 466,601.28 = 194,897.28 : x
  2. Step 2: Convert to fraction form
    338,041.68/466,601.28 = 194,897.28/x
  3. Step 3: Cross multiply
    338,041.68x = 466,601.28 × 194,897.28
  4. Step 4: Simplify right side
    338,041.68x = 90,939,320,316.52
  5. Step 5: Solve for x
    x = 90,939,320,316.52/338,041.68
  6. Step 6: Final answer
    x = 269,018.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.