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Finding the Fourth Proportional to 409,860.90, 565,606.92 and 228,573.02

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Solution

The fourth proportional to 409,860.90, 565,606.92 and 228,573.02 is: 315,430.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,860.90 : 565,606.92 = 228,573.02 : x
  2. Step 2: Convert to fraction form
    409,860.90/565,606.92 = 228,573.02/x
  3. Step 3: Cross multiply
    409,860.90x = 565,606.92 × 228,573.02
  4. Step 4: Simplify right side
    409,860.90x = 129,282,481,837.30
  5. Step 5: Solve for x
    x = 129,282,481,837.30/409,860.90
  6. Step 6: Final answer
    x = 315,430.14

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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.