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Finding the Fourth Proportional to 415,782.90, 573,781.80 and 224,797.67

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Solution

The fourth proportional to 415,782.90, 573,781.80 and 224,797.67 is: 310,221.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,782.90 : 573,781.80 = 224,797.67 : x
  2. Step 2: Convert to fraction form
    415,782.90/573,781.80 = 224,797.67/x
  3. Step 3: Cross multiply
    415,782.90x = 573,781.80 × 224,797.67
  4. Step 4: Simplify right side
    415,782.90x = 128,984,808,859.50
  5. Step 5: Solve for x
    x = 128,984,808,859.50/415,782.90
  6. Step 6: Final answer
    x = 310,221.53

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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.