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Finding the Fourth Proportional to 415,224.64, 573,009.96 and 224,238.04

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Solution

The fourth proportional to 415,224.64, 573,009.96 and 224,238.04 is: 309,448.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,224.64 : 573,009.96 = 224,238.04 : x
  2. Step 2: Convert to fraction form
    415,224.64/573,009.96 = 224,238.04/x
  3. Step 3: Cross multiply
    415,224.64x = 573,009.96 × 224,238.04
  4. Step 4: Simplify right side
    415,224.64x = 128,490,630,330.88
  5. Step 5: Solve for x
    x = 128,490,630,330.88/415,224.64
  6. Step 6: Final answer
    x = 309,448.47

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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.