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Finding the Fourth Proportional to 299,471.19, 413,171.01 and 197,547.27

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Solution

The fourth proportional to 299,471.19, 413,171.01 and 197,547.27 is: 272,549.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,471.19 : 413,171.01 = 197,547.27 : x
  2. Step 2: Convert to fraction form
    299,471.19/413,171.01 = 197,547.27/x
  3. Step 3: Cross multiply
    299,471.19x = 413,171.01 × 197,547.27
  4. Step 4: Simplify right side
    299,471.19x = 81,620,805,068.64
  5. Step 5: Solve for x
    x = 81,620,805,068.64/299,471.19
  6. Step 6: Final answer
    x = 272,549.77

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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.