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Finding the Fourth Proportional to 409,708.47, 565,400.07 and 228,431.82

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Solution

The fourth proportional to 409,708.47, 565,400.07 and 228,431.82 is: 315,237.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,708.47 : 565,400.07 = 228,431.82 : x
  2. Step 2: Convert to fraction form
    409,708.47/565,400.07 = 228,431.82/x
  3. Step 3: Cross multiply
    409,708.47x = 565,400.07 × 228,431.82
  4. Step 4: Simplify right side
    409,708.47x = 129,155,367,018.23
  5. Step 5: Solve for x
    x = 129,155,367,018.23/409,708.47
  6. Step 6: Final answer
    x = 315,237.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.