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Finding the Fourth Proportional to 409,851.69, 565,594.24 and 228,563.83

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Solution

The fourth proportional to 409,851.69, 565,594.24 and 228,563.83 is: 315,417.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,851.69 : 565,594.24 = 228,563.83 : x
  2. Step 2: Convert to fraction form
    409,851.69/565,594.24 = 228,563.83/x
  3. Step 3: Cross multiply
    409,851.69x = 565,594.24 × 228,563.83
  4. Step 4: Simplify right side
    409,851.69x = 129,274,385,720.34
  5. Step 5: Solve for x
    x = 129,274,385,720.34/409,851.69
  6. Step 6: Final answer
    x = 315,417.48

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1.5x scale

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.