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Finding the Fourth Proportional to 569,173.05, 785,459.09 and 314,524.24

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Solution

The fourth proportional to 569,173.05, 785,459.09 and 314,524.24 is: 434,043.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,173.05 : 785,459.09 = 314,524.24 : x
  2. Step 2: Convert to fraction form
    569,173.05/785,459.09 = 314,524.24/x
  3. Step 3: Cross multiply
    569,173.05x = 785,459.09 × 314,524.24
  4. Step 4: Simplify right side
    569,173.05x = 247,045,923,333.34
  5. Step 5: Solve for x
    x = 247,045,923,333.34/569,173.05
  6. Step 6: Final answer
    x = 434,043.61

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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.