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Finding the Fourth Proportional to 415,213.70, 569,257.54 and 407,646.68

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Solution

The fourth proportional to 415,213.70, 569,257.54 and 407,646.68 is: 558,883.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,213.70 : 569,257.54 = 407,646.68 : x
  2. Step 2: Convert to fraction form
    415,213.70/569,257.54 = 407,646.68/x
  3. Step 3: Cross multiply
    415,213.70x = 569,257.54 × 407,646.68
  4. Step 4: Simplify right side
    415,213.70x = 232,055,942,380.56
  5. Step 5: Solve for x
    x = 232,055,942,380.56/415,213.70
  6. Step 6: Final answer
    x = 558,883.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.