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Finding the Fourth Proportional to 401,096.32, 553,764.54 and 258,104.86

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Solution

The fourth proportional to 401,096.32, 553,764.54 and 258,104.86 is: 356,346.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,096.32 : 553,764.54 = 258,104.86 : x
  2. Step 2: Convert to fraction form
    401,096.32/553,764.54 = 258,104.86/x
  3. Step 3: Cross multiply
    401,096.32x = 553,764.54 × 258,104.86
  4. Step 4: Simplify right side
    401,096.32x = 142,929,319,069.66
  5. Step 5: Solve for x
    x = 142,929,319,069.66/401,096.32
  6. Step 6: Final answer
    x = 356,346.62

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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.