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Finding the Fourth Proportional to 415,934.51, 573,990 and 224,947.89

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Solution

The fourth proportional to 415,934.51, 573,990 and 224,947.89 is: 310,428.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,934.51 : 573,990 = 224,947.89 : x
  2. Step 2: Convert to fraction form
    415,934.51/573,990 = 224,947.89/x
  3. Step 3: Cross multiply
    415,934.51x = 573,990 × 224,947.89
  4. Step 4: Simplify right side
    415,934.51x = 129,117,839,381.10
  5. Step 5: Solve for x
    x = 129,117,839,381.10/415,934.51
  6. Step 6: Final answer
    x = 310,428.30

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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.