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Finding the Fourth Proportional to 304,953.84, 457,344 and 192,465.72

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Solution

The fourth proportional to 304,953.84, 457,344 and 192,465.72 is: 288,643.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,953.84 : 457,344 = 192,465.72 : x
  2. Step 2: Convert to fraction form
    304,953.84/457,344 = 192,465.72/x
  3. Step 3: Cross multiply
    304,953.84x = 457,344 × 192,465.72
  4. Step 4: Simplify right side
    304,953.84x = 88,023,042,247.68
  5. Step 5: Solve for x
    x = 88,023,042,247.68/304,953.84
  6. Step 6: Final answer
    x = 288,643.82

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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.