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Finding the Fourth Proportional to 431,135.40, 594,977.28 and 240,151.92

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Solution

The fourth proportional to 431,135.40, 594,977.28 and 240,151.92 is: 331,415.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,135.40 : 594,977.28 = 240,151.92 : x
  2. Step 2: Convert to fraction form
    431,135.40/594,977.28 = 240,151.92/x
  3. Step 3: Cross multiply
    431,135.40x = 594,977.28 × 240,151.92
  4. Step 4: Simplify right side
    431,135.40x = 142,884,936,148.38
  5. Step 5: Solve for x
    x = 142,884,936,148.38/431,135.40
  6. Step 6: Final answer
    x = 331,415.46

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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.