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Finding the Fourth Proportional to 301,184.38, 415,643.43 and 167,045.50

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Solution

The fourth proportional to 301,184.38, 415,643.43 and 167,045.50 is: 230,527.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,184.38 : 415,643.43 = 167,045.50 : x
  2. Step 2: Convert to fraction form
    301,184.38/415,643.43 = 167,045.50/x
  3. Step 3: Cross multiply
    301,184.38x = 415,643.43 × 167,045.50
  4. Step 4: Simplify right side
    301,184.38x = 69,431,364,586.07
  5. Step 5: Solve for x
    x = 69,431,364,586.07/301,184.38
  6. Step 6: Final answer
    x = 230,527.77

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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.