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Finding the Fourth Proportional to 467,902.36, 645,769.02 and 286,624.36

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Solution

The fourth proportional to 467,902.36, 645,769.02 and 286,624.36 is: 395,580.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,902.36 : 645,769.02 = 286,624.36 : x
  2. Step 2: Convert to fraction form
    467,902.36/645,769.02 = 286,624.36/x
  3. Step 3: Cross multiply
    467,902.36x = 645,769.02 × 286,624.36
  4. Step 4: Simplify right side
    467,902.36x = 185,093,132,065.33
  5. Step 5: Solve for x
    x = 185,093,132,065.33/467,902.36
  6. Step 6: Final answer
    x = 395,580.68

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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.