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Finding the Fourth Proportional to 415,239.69, 573,030.63 and 224,253.12

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Solution

The fourth proportional to 415,239.69, 573,030.63 and 224,253.12 is: 309,469.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,239.69 : 573,030.63 = 224,253.12 : x
  2. Step 2: Convert to fraction form
    415,239.69/573,030.63 = 224,253.12/x
  3. Step 3: Cross multiply
    415,239.69x = 573,030.63 × 224,253.12
  4. Step 4: Simplify right side
    415,239.69x = 128,503,906,633.07
  5. Step 5: Solve for x
    x = 128,503,906,633.07/415,239.69
  6. Step 6: Final answer
    x = 309,469.23

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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.