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Finding the Fourth Proportional to 401,232, 553,700.16 and 222,384

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Solution

The fourth proportional to 401,232, 553,700.16 and 222,384 is: 306,889.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,232 : 553,700.16 = 222,384 : x
  2. Step 2: Convert to fraction form
    401,232/553,700.16 = 222,384/x
  3. Step 3: Cross multiply
    401,232x = 553,700.16 × 222,384
  4. Step 4: Simplify right side
    401,232x = 123,134,056,381.44
  5. Step 5: Solve for x
    x = 123,134,056,381.44/401,232
  6. Step 6: Final answer
    x = 306,889.92

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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.