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Finding the Fourth Proportional to 475,881.34, 656,717.19 and 261,023.17

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Solution

The fourth proportional to 475,881.34, 656,717.19 and 261,023.17 is: 360,212.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,881.34 : 656,717.19 = 261,023.17 : x
  2. Step 2: Convert to fraction form
    475,881.34/656,717.19 = 261,023.17/x
  3. Step 3: Cross multiply
    475,881.34x = 656,717.19 × 261,023.17
  4. Step 4: Simplify right side
    475,881.34x = 171,418,402,727.29
  5. Step 5: Solve for x
    x = 171,418,402,727.29/475,881.34
  6. Step 6: Final answer
    x = 360,212.49

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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.