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Finding the Fourth Proportional to 468,274.52, 646,149.35 and 284,417.48

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Solution

The fourth proportional to 468,274.52, 646,149.35 and 284,417.48 is: 392,453.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,274.52 : 646,149.35 = 284,417.48 : x
  2. Step 2: Convert to fraction form
    468,274.52/646,149.35 = 284,417.48/x
  3. Step 3: Cross multiply
    468,274.52x = 646,149.35 × 284,417.48
  4. Step 4: Simplify right side
    468,274.52x = 183,776,172,157.06
  5. Step 5: Solve for x
    x = 183,776,172,157.06/468,274.52
  6. Step 6: Final answer
    x = 392,453.92

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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.