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Finding the Fourth Proportional to 423,758.34, 584,542.22 and 253,894.06

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Solution

The fourth proportional to 423,758.34, 584,542.22 and 253,894.06 is: 350,227.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,758.34 : 584,542.22 = 253,894.06 : x
  2. Step 2: Convert to fraction form
    423,758.34/584,542.22 = 253,894.06/x
  3. Step 3: Cross multiply
    423,758.34x = 584,542.22 × 253,894.06
  4. Step 4: Simplify right side
    423,758.34x = 148,411,797,477.21
  5. Step 5: Solve for x
    x = 148,411,797,477.21/423,758.34
  6. Step 6: Final answer
    x = 350,227.44

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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.