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Finding the Fourth Proportional to 569,806.32, 854,830.44 and 214,811.76

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Solution

The fourth proportional to 569,806.32, 854,830.44 and 214,811.76 is: 322,263.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,806.32 : 854,830.44 = 214,811.76 : x
  2. Step 2: Convert to fraction form
    569,806.32/854,830.44 = 214,811.76/x
  3. Step 3: Cross multiply
    569,806.32x = 854,830.44 × 214,811.76
  4. Step 4: Simplify right side
    569,806.32x = 183,627,631,317.97
  5. Step 5: Solve for x
    x = 183,627,631,317.97/569,806.32
  6. Step 6: Final answer
    x = 322,263.24

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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.