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Finding the Fourth Proportional to 498,937.17, 688,533.97 and 284,077.33

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Solution

The fourth proportional to 498,937.17, 688,533.97 and 284,077.33 is: 392,027.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,937.17 : 688,533.97 = 284,077.33 : x
  2. Step 2: Convert to fraction form
    498,937.17/688,533.97 = 284,077.33/x
  3. Step 3: Cross multiply
    498,937.17x = 688,533.97 × 284,077.33
  4. Step 4: Simplify right side
    498,937.17x = 195,596,889,913.02
  5. Step 5: Solve for x
    x = 195,596,889,913.02/498,937.17
  6. Step 6: Final answer
    x = 392,027.10

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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.