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Finding the Fourth Proportional to 474,658.24, 712,104.02 and 142,234.24

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Solution

The fourth proportional to 474,658.24, 712,104.02 and 142,234.24 is: 213,386.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,658.24 : 712,104.02 = 142,234.24 : x
  2. Step 2: Convert to fraction form
    474,658.24/712,104.02 = 142,234.24/x
  3. Step 3: Cross multiply
    474,658.24x = 712,104.02 × 142,234.24
  4. Step 4: Simplify right side
    474,658.24x = 101,285,574,085.65
  5. Step 5: Solve for x
    x = 101,285,574,085.65/474,658.24
  6. Step 6: Final answer
    x = 213,386.32

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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.