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Finding the Fourth Proportional to 364,121, 502,281.18 and 227,918.51

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Solution

The fourth proportional to 364,121, 502,281.18 and 227,918.51 is: 314,398.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,121 : 502,281.18 = 227,918.51 : x
  2. Step 2: Convert to fraction form
    364,121/502,281.18 = 227,918.51/x
  3. Step 3: Cross multiply
    364,121x = 502,281.18 × 227,918.51
  4. Step 4: Simplify right side
    364,121x = 114,479,178,146.64
  5. Step 5: Solve for x
    x = 114,479,178,146.64/364,121
  6. Step 6: Final answer
    x = 314,398.73

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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.