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Finding the Fourth Proportional to 564,401.54, 846,879.06 and 264,906.47

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Solution

The fourth proportional to 564,401.54, 846,879.06 and 264,906.47 is: 397,489.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,401.54 : 846,879.06 = 264,906.47 : x
  2. Step 2: Convert to fraction form
    564,401.54/846,879.06 = 264,906.47/x
  3. Step 3: Cross multiply
    564,401.54x = 846,879.06 × 264,906.47
  4. Step 4: Simplify right side
    564,401.54x = 224,343,742,301.52
  5. Step 5: Solve for x
    x = 224,343,742,301.52/564,401.54
  6. Step 6: Final answer
    x = 397,489.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.