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Finding the Fourth Proportional to 409,825.95, 565,562.28 and 228,549.35

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Solution

The fourth proportional to 409,825.95, 565,562.28 and 228,549.35 is: 315,399.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,825.95 : 565,562.28 = 228,549.35 : x
  2. Step 2: Convert to fraction form
    409,825.95/565,562.28 = 228,549.35/x
  3. Step 3: Cross multiply
    409,825.95x = 565,562.28 × 228,549.35
  4. Step 4: Simplify right side
    409,825.95x = 129,258,888,650.71
  5. Step 5: Solve for x
    x = 129,258,888,650.71/409,825.95
  6. Step 6: Final answer
    x = 315,399.47

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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.