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Finding the Fourth Proportional to 415,933.94, 573,988.38 and 224,946.92

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Solution

The fourth proportional to 415,933.94, 573,988.38 and 224,946.92 is: 310,426.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,933.94 : 573,988.38 = 224,946.92 : x
  2. Step 2: Convert to fraction form
    415,933.94/573,988.38 = 224,946.92/x
  3. Step 3: Cross multiply
    415,933.94x = 573,988.38 × 224,946.92
  4. Step 4: Simplify right side
    415,933.94x = 129,116,918,196.79
  5. Step 5: Solve for x
    x = 129,116,918,196.79/415,933.94
  6. Step 6: Final answer
    x = 310,426.50

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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.