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Finding the Fourth Proportional to 415,221.42, 573,005.57 and 224,234.81

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Solution

The fourth proportional to 415,221.42, 573,005.57 and 224,234.81 is: 309,444.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,221.42 : 573,005.57 = 224,234.81 : x
  2. Step 2: Convert to fraction form
    415,221.42/573,005.57 = 224,234.81/x
  3. Step 3: Cross multiply
    415,221.42x = 573,005.57 × 224,234.81
  4. Step 4: Simplify right side
    415,221.42x = 128,487,796,270.11
  5. Step 5: Solve for x
    x = 128,487,796,270.11/415,221.42
  6. Step 6: Final answer
    x = 309,444.04

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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.