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Finding the Fourth Proportional to 285,738.72, 428,748.36 and 114,953.52

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Solution

The fourth proportional to 285,738.72, 428,748.36 and 114,953.52 is: 172,486.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,738.72 : 428,748.36 = 114,953.52 : x
  2. Step 2: Convert to fraction form
    285,738.72/428,748.36 = 114,953.52/x
  3. Step 3: Cross multiply
    285,738.72x = 428,748.36 × 114,953.52
  4. Step 4: Simplify right side
    285,738.72x = 49,286,133,176.23
  5. Step 5: Solve for x
    x = 49,286,133,176.23/285,738.72
  6. Step 6: Final answer
    x = 172,486.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.