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Finding the Fourth Proportional to 431,192.16, 646,489.89 and 191,174.94

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Solution

The fourth proportional to 431,192.16, 646,489.89 and 191,174.94 is: 286,630.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,192.16 : 646,489.89 = 191,174.94 : x
  2. Step 2: Convert to fraction form
    431,192.16/646,489.89 = 191,174.94/x
  3. Step 3: Cross multiply
    431,192.16x = 646,489.89 × 191,174.94
  4. Step 4: Simplify right side
    431,192.16x = 123,592,665,931.36
  5. Step 5: Solve for x
    x = 123,592,665,931.36/431,192.16
  6. Step 6: Final answer
    x = 286,630.13

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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.