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Finding the Fourth Proportional to 569,680, 854,521.86 and 214,598.68

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Solution

The fourth proportional to 569,680, 854,521.86 and 214,598.68 is: 321,898.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,680 : 854,521.86 = 214,598.68 : x
  2. Step 2: Convert to fraction form
    569,680/854,521.86 = 214,598.68/x
  3. Step 3: Cross multiply
    569,680x = 854,521.86 × 214,598.68
  4. Step 4: Simplify right side
    569,680x = 183,379,263,187.15
  5. Step 5: Solve for x
    x = 183,379,263,187.15/569,680
  6. Step 6: Final answer
    x = 321,898.72

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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.