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Finding the Fourth Proportional to 304,712.91, 457,147.13 and 193,185.63

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Solution

The fourth proportional to 304,712.91, 457,147.13 and 193,185.63 is: 289,827.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,712.91 : 457,147.13 = 193,185.63 : x
  2. Step 2: Convert to fraction form
    304,712.91/457,147.13 = 193,185.63/x
  3. Step 3: Cross multiply
    304,712.91x = 457,147.13 × 193,185.63
  4. Step 4: Simplify right side
    304,712.91x = 88,314,255,345.81
  5. Step 5: Solve for x
    x = 88,314,255,345.81/304,712.91
  6. Step 6: Final answer
    x = 289,827.74

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Why These Related Problems?

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