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Finding the Fourth Proportional to 409,592.79, 565,240.59 and 228,316.23

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Solution

The fourth proportional to 409,592.79, 565,240.59 and 228,316.23 is: 315,077.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,592.79 : 565,240.59 = 228,316.23 : x
  2. Step 2: Convert to fraction form
    409,592.79/565,240.59 = 228,316.23/x
  3. Step 3: Cross multiply
    409,592.79x = 565,240.59 × 228,316.23
  4. Step 4: Simplify right side
    409,592.79x = 129,053,600,551.78
  5. Step 5: Solve for x
    x = 129,053,600,551.78/409,592.79
  6. Step 6: Final answer
    x = 315,077.81

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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.