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Finding the Fourth Proportional to 341,133.39, 511,700.09 and 191,478.80

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Solution

The fourth proportional to 341,133.39, 511,700.09 and 191,478.80 is: 287,218.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,133.39 : 511,700.09 = 191,478.80 : x
  2. Step 2: Convert to fraction form
    341,133.39/511,700.09 = 191,478.80/x
  3. Step 3: Cross multiply
    341,133.39x = 511,700.09 × 191,478.80
  4. Step 4: Simplify right side
    341,133.39x = 97,979,719,514.95
  5. Step 5: Solve for x
    x = 97,979,719,514.95/341,133.39
  6. Step 6: Final answer
    x = 287,218.20

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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.