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Finding the Fourth Proportional to 408,527.46, 564,172.11 and 336,642.57

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Solution

The fourth proportional to 408,527.46, 564,172.11 and 336,642.57 is: 464,899.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,527.46 : 564,172.11 = 336,642.57 : x
  2. Step 2: Convert to fraction form
    408,527.46/564,172.11 = 336,642.57/x
  3. Step 3: Cross multiply
    408,527.46x = 564,172.11 × 336,642.57
  4. Step 4: Simplify right side
    408,527.46x = 189,924,349,032.72
  5. Step 5: Solve for x
    x = 189,924,349,032.72/408,527.46
  6. Step 6: Final answer
    x = 464,899.84

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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.