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Finding the Fourth Proportional to 314,902, 434,719.90 and 218,179.19

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Solution

The fourth proportional to 314,902, 434,719.90 and 218,179.19 is: 301,194.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,902 : 434,719.90 = 218,179.19 : x
  2. Step 2: Convert to fraction form
    314,902/434,719.90 = 218,179.19/x
  3. Step 3: Cross multiply
    314,902x = 434,719.90 × 218,179.19
  4. Step 4: Simplify right side
    314,902x = 94,846,835,658.88
  5. Step 5: Solve for x
    x = 94,846,835,658.88/314,902
  6. Step 6: Final answer
    x = 301,194.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.