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Finding the Fourth Proportional to 314,662.04, 434,219.64 and 183,851.84

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Solution

The fourth proportional to 314,662.04, 434,219.64 and 183,851.84 is: 253,707.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,662.04 : 434,219.64 = 183,851.84 : x
  2. Step 2: Convert to fraction form
    314,662.04/434,219.64 = 183,851.84/x
  3. Step 3: Cross multiply
    314,662.04x = 434,219.64 × 183,851.84
  4. Step 4: Simplify right side
    314,662.04x = 79,832,079,778.14
  5. Step 5: Solve for x
    x = 79,832,079,778.14/314,662.04
  6. Step 6: Final answer
    x = 253,707.37

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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.