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Finding the Fourth Proportional to 289,295.40, 432,183.72 and 187,262.23

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Solution

The fourth proportional to 289,295.40, 432,183.72 and 187,262.23 is: 279,754.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,295.40 : 432,183.72 = 187,262.23 : x
  2. Step 2: Convert to fraction form
    289,295.40/432,183.72 = 187,262.23/x
  3. Step 3: Cross multiply
    289,295.40x = 432,183.72 × 187,262.23
  4. Step 4: Simplify right side
    289,295.40x = 80,931,684,079.67
  5. Step 5: Solve for x
    x = 80,931,684,079.67/289,295.40
  6. Step 6: Final answer
    x = 279,754.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.