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Finding the Fourth Proportional to 289,867.41, 434,830.90 and 100,327.46

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Solution

The fourth proportional to 289,867.41, 434,830.90 and 100,327.46 is: 150,501.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,867.41 : 434,830.90 = 100,327.46 : x
  2. Step 2: Convert to fraction form
    289,867.41/434,830.90 = 100,327.46/x
  3. Step 3: Cross multiply
    289,867.41x = 434,830.90 × 100,327.46
  4. Step 4: Simplify right side
    289,867.41x = 43,625,479,726.51
  5. Step 5: Solve for x
    x = 43,625,479,726.51/289,867.41
  6. Step 6: Final answer
    x = 150,501.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.