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Finding the Fourth Proportional to 411,735.76, 617,653.45 and 145,441.78

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Solution

The fourth proportional to 411,735.76, 617,653.45 and 145,441.78 is: 218,180.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,735.76 : 617,653.45 = 145,441.78 : x
  2. Step 2: Convert to fraction form
    411,735.76/617,653.45 = 145,441.78/x
  3. Step 3: Cross multiply
    411,735.76x = 617,653.45 × 145,441.78
  4. Step 4: Simplify right side
    411,735.76x = 89,832,615,828.81
  5. Step 5: Solve for x
    x = 89,832,615,828.81/411,735.76
  6. Step 6: Final answer
    x = 218,180.26

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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.