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Finding the Fourth Proportional to 474,521.38, 654,837.72 and 256,729.34

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Solution

The fourth proportional to 474,521.38, 654,837.72 and 256,729.34 is: 354,285.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,521.38 : 654,837.72 = 256,729.34 : x
  2. Step 2: Convert to fraction form
    474,521.38/654,837.72 = 256,729.34/x
  3. Step 3: Cross multiply
    474,521.38x = 654,837.72 × 256,729.34
  4. Step 4: Simplify right side
    474,521.38x = 168,116,055,662.71
  5. Step 5: Solve for x
    x = 168,116,055,662.71/474,521.38
  6. Step 6: Final answer
    x = 354,285.52

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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.