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Finding the Fourth Proportional to 390,541.90, 538,730.78 and 227,180.03

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Solution

The fourth proportional to 390,541.90, 538,730.78 and 227,180.03 is: 313,382.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,541.90 : 538,730.78 = 227,180.03 : x
  2. Step 2: Convert to fraction form
    390,541.90/538,730.78 = 227,180.03/x
  3. Step 3: Cross multiply
    390,541.90x = 538,730.78 × 227,180.03
  4. Step 4: Simplify right side
    390,541.90x = 122,388,872,210.66
  5. Step 5: Solve for x
    x = 122,388,872,210.66/390,541.90
  6. Step 6: Final answer
    x = 313,382.18

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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.