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Finding the Fourth Proportional to 415,410.53, 573,249.98 and 234,160.07

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Solution

The fourth proportional to 415,410.53, 573,249.98 and 234,160.07 is: 323,131.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,410.53 : 573,249.98 = 234,160.07 : x
  2. Step 2: Convert to fraction form
    415,410.53/573,249.98 = 234,160.07/x
  3. Step 3: Cross multiply
    415,410.53x = 573,249.98 × 234,160.07
  4. Step 4: Simplify right side
    415,410.53x = 134,232,254,273.50
  5. Step 5: Solve for x
    x = 134,232,254,273.50/415,410.53
  6. Step 6: Final answer
    x = 323,131.56

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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.