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Finding the Fourth Proportional to 569,188.70, 854,111.10 and 214,457.30

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Solution

The fourth proportional to 569,188.70, 854,111.10 and 214,457.30 is: 321,809.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,188.70 : 854,111.10 = 214,457.30 : x
  2. Step 2: Convert to fraction form
    569,188.70/854,111.10 = 214,457.30/x
  3. Step 3: Cross multiply
    569,188.70x = 854,111.10 × 214,457.30
  4. Step 4: Simplify right side
    569,188.70x = 183,170,360,406.03
  5. Step 5: Solve for x
    x = 183,170,360,406.03/569,188.70
  6. Step 6: Final answer
    x = 321,809.55

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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.