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Finding the Fourth Proportional to 400,816.49, 553,127.30 and 217,055.38

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Solution

The fourth proportional to 400,816.49, 553,127.30 and 217,055.38 is: 299,536.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,816.49 : 553,127.30 = 217,055.38 : x
  2. Step 2: Convert to fraction form
    400,816.49/553,127.30 = 217,055.38/x
  3. Step 3: Cross multiply
    400,816.49x = 553,127.30 × 217,055.38
  4. Step 4: Simplify right side
    400,816.49x = 120,059,256,289.87
  5. Step 5: Solve for x
    x = 120,059,256,289.87/400,816.49
  6. Step 6: Final answer
    x = 299,536.72

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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.