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Finding the Fourth Proportional to 415,409.20, 573,264.98 and 224,422.52

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Solution

The fourth proportional to 415,409.20, 573,264.98 and 224,422.52 is: 309,703.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,409.20 : 573,264.98 = 224,422.52 : x
  2. Step 2: Convert to fraction form
    415,409.20/573,264.98 = 224,422.52/x
  3. Step 3: Cross multiply
    415,409.20x = 573,264.98 × 224,422.52
  4. Step 4: Simplify right side
    415,409.20x = 128,653,571,439.35
  5. Step 5: Solve for x
    x = 128,653,571,439.35/415,409.20
  6. Step 6: Final answer
    x = 309,703.23

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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.