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Finding the Fourth Proportional to 415,505.46, 573,397.71 and 224,518.86

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Solution

The fourth proportional to 415,505.46, 573,397.71 and 224,518.86 is: 309,836.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,505.46 : 573,397.71 = 224,518.86 : x
  2. Step 2: Convert to fraction form
    415,505.46/573,397.71 = 224,518.86/x
  3. Step 3: Cross multiply
    415,505.46x = 573,397.71 × 224,518.86
  4. Step 4: Simplify right side
    415,505.46x = 128,738,600,175.81
  5. Step 5: Solve for x
    x = 128,738,600,175.81/415,505.46
  6. Step 6: Final answer
    x = 309,836.12

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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.