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Finding the Fourth Proportional to 415,593.84, 573,253.56 and 288,222.96

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Solution

The fourth proportional to 415,593.84, 573,253.56 and 288,222.96 is: 397,563.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,593.84 : 573,253.56 = 288,222.96 : x
  2. Step 2: Convert to fraction form
    415,593.84/573,253.56 = 288,222.96/x
  3. Step 3: Cross multiply
    415,593.84x = 573,253.56 × 288,222.96
  4. Step 4: Simplify right side
    415,593.84x = 165,224,837,893.74
  5. Step 5: Solve for x
    x = 165,224,837,893.74/415,593.84
  6. Step 6: Final answer
    x = 397,563.25

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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.