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Finding the Fourth Proportional to 569,764.64, 854,331.46 and 233,041.75

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Solution

The fourth proportional to 569,764.64, 854,331.46 and 233,041.75 is: 349,433.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,764.64 : 854,331.46 = 233,041.75 : x
  2. Step 2: Convert to fraction form
    569,764.64/854,331.46 = 233,041.75/x
  3. Step 3: Cross multiply
    569,764.64x = 854,331.46 × 233,041.75
  4. Step 4: Simplify right side
    569,764.64x = 199,094,898,518.46
  5. Step 5: Solve for x
    x = 199,094,898,518.46/569,764.64
  6. Step 6: Final answer
    x = 349,433.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.