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Finding the Fourth Proportional to 458,624.84, 633,115.86 and 305,917.16

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Solution

The fourth proportional to 458,624.84, 633,115.86 and 305,917.16 is: 422,308.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,624.84 : 633,115.86 = 305,917.16 : x
  2. Step 2: Convert to fraction form
    458,624.84/633,115.86 = 305,917.16/x
  3. Step 3: Cross multiply
    458,624.84x = 633,115.86 × 305,917.16
  4. Step 4: Simplify right side
    458,624.84x = 193,681,005,842.16
  5. Step 5: Solve for x
    x = 193,681,005,842.16/458,624.84
  6. Step 6: Final answer
    x = 422,308.15

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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.