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Finding the Fourth Proportional to 409,847.61, 565,592.99 and 228,571.23

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Solution

The fourth proportional to 409,847.61, 565,592.99 and 228,571.23 is: 315,430.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,847.61 : 565,592.99 = 228,571.23 : x
  2. Step 2: Convert to fraction form
    409,847.61/565,592.99 = 228,571.23/x
  3. Step 3: Cross multiply
    409,847.61x = 565,592.99 × 228,571.23
  4. Step 4: Simplify right side
    409,847.61x = 129,278,284,260.82
  5. Step 5: Solve for x
    x = 129,278,284,260.82/409,847.61
  6. Step 6: Final answer
    x = 315,430.13

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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.