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Finding the Fourth Proportional to 474,518.84, 654,834.22 and 256,726.81

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Solution

The fourth proportional to 474,518.84, 654,834.22 and 256,726.81 is: 354,282.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,518.84 : 654,834.22 = 256,726.81 : x
  2. Step 2: Convert to fraction form
    474,518.84/654,834.22 = 256,726.81/x
  3. Step 3: Cross multiply
    474,518.84x = 654,834.22 × 256,726.81
  4. Step 4: Simplify right side
    474,518.84x = 168,113,498,100.54
  5. Step 5: Solve for x
    x = 168,113,498,100.54/474,518.84
  6. Step 6: Final answer
    x = 354,282.03

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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.