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Finding the Fourth Proportional to 285,341.97, 393,771.15 and 164,482.59

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Solution

The fourth proportional to 285,341.97, 393,771.15 and 164,482.59 is: 226,985.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,341.97 : 393,771.15 = 164,482.59 : x
  2. Step 2: Convert to fraction form
    285,341.97/393,771.15 = 164,482.59/x
  3. Step 3: Cross multiply
    285,341.97x = 393,771.15 × 164,482.59
  4. Step 4: Simplify right side
    285,341.97x = 64,768,498,619.28
  5. Step 5: Solve for x
    x = 64,768,498,619.28/285,341.97
  6. Step 6: Final answer
    x = 226,985.53

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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.