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Finding the Fourth Proportional to 501,274.91, 751,899.94 and 146,292

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Solution

The fourth proportional to 501,274.91, 751,899.94 and 146,292 is: 219,434.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,274.91 : 751,899.94 = 146,292 : x
  2. Step 2: Convert to fraction form
    501,274.91/751,899.94 = 146,292/x
  3. Step 3: Cross multiply
    501,274.91x = 751,899.94 × 146,292
  4. Step 4: Simplify right side
    501,274.91x = 109,996,946,022.48
  5. Step 5: Solve for x
    x = 109,996,946,022.48/501,274.91
  6. Step 6: Final answer
    x = 219,434.38

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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.