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Finding the Fourth Proportional to 409,559.95, 565,124.20 and 228,232.14

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Solution

The fourth proportional to 409,559.95, 565,124.20 and 228,232.14 is: 314,922.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,559.95 : 565,124.20 = 228,232.14 : x
  2. Step 2: Convert to fraction form
    409,559.95/565,124.20 = 228,232.14/x
  3. Step 3: Cross multiply
    409,559.95x = 565,124.20 × 228,232.14
  4. Step 4: Simplify right side
    409,559.95x = 128,979,505,531.79
  5. Step 5: Solve for x
    x = 128,979,505,531.79/409,559.95
  6. Step 6: Final answer
    x = 314,922.16

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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.