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Finding the Fourth Proportional to 401,173.16, 553,614.01 and 217,407.78

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Solution

The fourth proportional to 401,173.16, 553,614.01 and 217,407.78 is: 300,020.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,173.16 : 553,614.01 = 217,407.78 : x
  2. Step 2: Convert to fraction form
    401,173.16/553,614.01 = 217,407.78/x
  3. Step 3: Cross multiply
    401,173.16x = 553,614.01 × 217,407.78
  4. Step 4: Simplify right side
    401,173.16x = 120,359,992,347.48
  5. Step 5: Solve for x
    x = 120,359,992,347.48/401,173.16
  6. Step 6: Final answer
    x = 300,020.06

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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.