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Finding the Fourth Proportional to 401,233.92, 553,699.20 and 219,956.16

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Solution

The fourth proportional to 401,233.92, 553,699.20 and 219,956.16 is: 303,537.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,233.92 : 553,699.20 = 219,956.16 : x
  2. Step 2: Convert to fraction form
    401,233.92/553,699.20 = 219,956.16/x
  3. Step 3: Cross multiply
    401,233.92x = 553,699.20 × 219,956.16
  4. Step 4: Simplify right side
    401,233.92x = 121,789,549,827.07
  5. Step 5: Solve for x
    x = 121,789,549,827.07/401,233.92
  6. Step 6: Final answer
    x = 303,537.52

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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.