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Finding the Fourth Proportional to 457,271.16, 630,824.52 and 296,178

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Solution

The fourth proportional to 457,271.16, 630,824.52 and 296,178 is: 408,589.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,271.16 : 630,824.52 = 296,178 : x
  2. Step 2: Convert to fraction form
    457,271.16/630,824.52 = 296,178/x
  3. Step 3: Cross multiply
    457,271.16x = 630,824.52 × 296,178
  4. Step 4: Simplify right side
    457,271.16x = 186,836,344,684.56
  5. Step 5: Solve for x
    x = 186,836,344,684.56/457,271.16
  6. Step 6: Final answer
    x = 408,589.83

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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.