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Finding the Fourth Proportional to 415,941.51, 573,999.30 and 224,954.91

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Solution

The fourth proportional to 415,941.51, 573,999.30 and 224,954.91 is: 310,437.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,941.51 : 573,999.30 = 224,954.91 : x
  2. Step 2: Convert to fraction form
    415,941.51/573,999.30 = 224,954.91/x
  3. Step 3: Cross multiply
    415,941.51x = 573,999.30 × 224,954.91
  4. Step 4: Simplify right side
    415,941.51x = 129,123,960,871.56
  5. Step 5: Solve for x
    x = 129,123,960,871.56/415,941.51
  6. Step 6: Final answer
    x = 310,437.78

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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.