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Finding the Fourth Proportional to 410,199.24, 565,917.12 and 256,970.76

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Solution

The fourth proportional to 410,199.24, 565,917.12 and 256,970.76 is: 354,520.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,199.24 : 565,917.12 = 256,970.76 : x
  2. Step 2: Convert to fraction form
    410,199.24/565,917.12 = 256,970.76/x
  3. Step 3: Cross multiply
    410,199.24x = 565,917.12 × 256,970.76
  4. Step 4: Simplify right side
    410,199.24x = 145,424,152,423.41
  5. Step 5: Solve for x
    x = 145,424,152,423.41/410,199.24
  6. Step 6: Final answer
    x = 354,520.77

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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.