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Finding the Fourth Proportional to 409,498.98, 565,456.86 and 256,792.92

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Solution

The fourth proportional to 409,498.98, 565,456.86 and 256,792.92 is: 354,592.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,498.98 : 565,456.86 = 256,792.92 : x
  2. Step 2: Convert to fraction form
    409,498.98/565,456.86 = 256,792.92/x
  3. Step 3: Cross multiply
    409,498.98x = 565,456.86 × 256,792.92
  4. Step 4: Simplify right side
    409,498.98x = 145,205,318,213.43
  5. Step 5: Solve for x
    x = 145,205,318,213.43/409,498.98
  6. Step 6: Final answer
    x = 354,592.62

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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.