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Finding the Fourth Proportional to 390,186.16, 538,525.41 and 226,893.15

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Solution

The fourth proportional to 390,186.16, 538,525.41 and 226,893.15 is: 313,152.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,186.16 : 538,525.41 = 226,893.15 : x
  2. Step 2: Convert to fraction form
    390,186.16/538,525.41 = 226,893.15/x
  3. Step 3: Cross multiply
    390,186.16x = 538,525.41 × 226,893.15
  4. Step 4: Simplify right side
    390,186.16x = 122,187,727,055.37
  5. Step 5: Solve for x
    x = 122,187,727,055.37/390,186.16
  6. Step 6: Final answer
    x = 313,152.38

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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.