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Finding the Fourth Proportional to 291,821.60, 402,645.22 and 177,097.68

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Solution

The fourth proportional to 291,821.60, 402,645.22 and 177,097.68 is: 244,353.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,821.60 : 402,645.22 = 177,097.68 : x
  2. Step 2: Convert to fraction form
    291,821.60/402,645.22 = 177,097.68/x
  3. Step 3: Cross multiply
    291,821.60x = 402,645.22 × 177,097.68
  4. Step 4: Simplify right side
    291,821.60x = 71,307,534,325.09
  5. Step 5: Solve for x
    x = 71,307,534,325.09/291,821.60
  6. Step 6: Final answer
    x = 244,353.17

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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.