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Finding the Fourth Proportional to 474,434.16, 654,989.81 and 313,755.27

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Solution

The fourth proportional to 474,434.16, 654,989.81 and 313,755.27 is: 433,161.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,434.16 : 654,989.81 = 313,755.27 : x
  2. Step 2: Convert to fraction form
    474,434.16/654,989.81 = 313,755.27/x
  3. Step 3: Cross multiply
    474,434.16x = 654,989.81 × 313,755.27
  4. Step 4: Simplify right side
    474,434.16x = 205,506,503,115.02
  5. Step 5: Solve for x
    x = 205,506,503,115.02/474,434.16
  6. Step 6: Final answer
    x = 433,161.27

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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.