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Finding the Fourth Proportional to 332,002.40, 497,409.60 and 201,934.40

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Solution

The fourth proportional to 332,002.40, 497,409.60 and 201,934.40 is: 302,540.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,002.40 : 497,409.60 = 201,934.40 : x
  2. Step 2: Convert to fraction form
    332,002.40/497,409.60 = 201,934.40/x
  3. Step 3: Cross multiply
    332,002.40x = 497,409.60 × 201,934.40
  4. Step 4: Simplify right side
    332,002.40x = 100,444,109,130.24
  5. Step 5: Solve for x
    x = 100,444,109,130.24/332,002.40
  6. Step 6: Final answer
    x = 302,540.31

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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.