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Finding the Fourth Proportional to 299,619.84, 413,477.52 and 165,483.84

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Solution

The fourth proportional to 299,619.84, 413,477.52 and 165,483.84 is: 228,368.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,619.84 : 413,477.52 = 165,483.84 : x
  2. Step 2: Convert to fraction form
    299,619.84/413,477.52 = 165,483.84/x
  3. Step 3: Cross multiply
    299,619.84x = 413,477.52 × 165,483.84
  4. Step 4: Simplify right side
    299,619.84x = 68,423,847,763.28
  5. Step 5: Solve for x
    x = 68,423,847,763.28/299,619.84
  6. Step 6: Final answer
    x = 228,368.88

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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.