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Finding the Fourth Proportional to 334,191.42, 461,184.12 and 183,288.42

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Solution

The fourth proportional to 334,191.42, 461,184.12 and 183,288.42 is: 252,938.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,191.42 : 461,184.12 = 183,288.42 : x
  2. Step 2: Convert to fraction form
    334,191.42/461,184.12 = 183,288.42/x
  3. Step 3: Cross multiply
    334,191.42x = 461,184.12 × 183,288.42
  4. Step 4: Simplify right side
    334,191.42x = 84,529,708,683.89
  5. Step 5: Solve for x
    x = 84,529,708,683.89/334,191.42
  6. Step 6: Final answer
    x = 252,938.00

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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.