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Finding the Fourth Proportional to 401,362.40, 553,904.96 and 222,514.40

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Solution

The fourth proportional to 401,362.40, 553,904.96 and 222,514.40 is: 307,083.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,362.40 : 553,904.96 = 222,514.40 : x
  2. Step 2: Convert to fraction form
    401,362.40/553,904.96 = 222,514.40/x
  3. Step 3: Cross multiply
    401,362.40x = 553,904.96 × 222,514.40
  4. Step 4: Simplify right side
    401,362.40x = 123,251,829,831.42
  5. Step 5: Solve for x
    x = 123,251,829,831.42/401,362.40
  6. Step 6: Final answer
    x = 307,083.65

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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.