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Finding the Fourth Proportional to 569,762.14, 854,327.82 and 233,039.20

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Solution

The fourth proportional to 569,762.14, 854,327.82 and 233,039.20 is: 349,429.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,762.14 : 854,327.82 = 233,039.20 : x
  2. Step 2: Convert to fraction form
    569,762.14/854,327.82 = 233,039.20/x
  3. Step 3: Cross multiply
    569,762.14x = 854,327.82 × 233,039.20
  4. Step 4: Simplify right side
    569,762.14x = 199,091,871,710.54
  5. Step 5: Solve for x
    x = 199,091,871,710.54/569,762.14
  6. Step 6: Final answer
    x = 349,429.80

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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.