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Finding the Fourth Proportional to 842,370, 1,162,468.44 and 460,399.38

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Solution

The fourth proportional to 842,370, 1,162,468.44 and 460,399.38 is: 635,349.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,370 : 1,162,468.44 = 460,399.38 : x
  2. Step 2: Convert to fraction form
    842,370/1,162,468.44 = 460,399.38/x
  3. Step 3: Cross multiply
    842,370x = 1,162,468.44 × 460,399.38
  4. Step 4: Simplify right side
    842,370x = 535,199,749,045.57
  5. Step 5: Solve for x
    x = 535,199,749,045.57/842,370
  6. Step 6: Final answer
    x = 635,349.96

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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.