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Finding the Fourth Proportional to 329,886.09, 493,972.56 and 282,802.41

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Solution

The fourth proportional to 329,886.09, 493,972.56 and 282,802.41 is: 423,469.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,886.09 : 493,972.56 = 282,802.41 : x
  2. Step 2: Convert to fraction form
    329,886.09/493,972.56 = 282,802.41/x
  3. Step 3: Cross multiply
    329,886.09x = 493,972.56 × 282,802.41
  4. Step 4: Simplify right side
    329,886.09x = 139,696,630,441.87
  5. Step 5: Solve for x
    x = 139,696,630,441.87/329,886.09
  6. Step 6: Final answer
    x = 423,469.30

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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.