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Finding the Fourth Proportional to 474,523.36, 654,044.16 and 359,764

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Solution

The fourth proportional to 474,523.36, 654,044.16 and 359,764 is: 495,869.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,523.36 : 654,044.16 = 359,764 : x
  2. Step 2: Convert to fraction form
    474,523.36/654,044.16 = 359,764/x
  3. Step 3: Cross multiply
    474,523.36x = 654,044.16 × 359,764
  4. Step 4: Simplify right side
    474,523.36x = 235,301,543,178.24
  5. Step 5: Solve for x
    x = 235,301,543,178.24/474,523.36
  6. Step 6: Final answer
    x = 495,869.25

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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.