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Finding the Fourth Proportional to 649,238.16, 895,931.80 and 362,760.24

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Solution

The fourth proportional to 649,238.16, 895,931.80 and 362,760.24 is: 500,599.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,238.16 : 895,931.80 = 362,760.24 : x
  2. Step 2: Convert to fraction form
    649,238.16/895,931.80 = 362,760.24/x
  3. Step 3: Cross multiply
    649,238.16x = 895,931.80 × 362,760.24
  4. Step 4: Simplify right side
    649,238.16x = 325,008,434,791.63
  5. Step 5: Solve for x
    x = 325,008,434,791.63/649,238.16
  6. Step 6: Final answer
    x = 500,599.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.