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Finding the Fourth Proportional to 569,424.70, 854,465.10 and 214,693.30

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Solution

The fourth proportional to 569,424.70, 854,465.10 and 214,693.30 is: 322,163.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,424.70 : 854,465.10 = 214,693.30 : x
  2. Step 2: Convert to fraction form
    569,424.70/854,465.10 = 214,693.30/x
  3. Step 3: Cross multiply
    569,424.70x = 854,465.10 × 214,693.30
  4. Step 4: Simplify right side
    569,424.70x = 183,447,932,053.83
  5. Step 5: Solve for x
    x = 183,447,932,053.83/569,424.70
  6. Step 6: Final answer
    x = 322,163.64

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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.