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Finding the Fourth Proportional to 569,156.16, 854,174.88 and 214,492.80

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Solution

The fourth proportional to 569,156.16, 854,174.88 and 214,492.80 is: 321,905.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,156.16 : 854,174.88 = 214,492.80 : x
  2. Step 2: Convert to fraction form
    569,156.16/854,174.88 = 214,492.80/x
  3. Step 3: Cross multiply
    569,156.16x = 854,174.88 × 214,492.80
  4. Step 4: Simplify right side
    569,156.16x = 183,214,361,700.86
  5. Step 5: Solve for x
    x = 183,214,361,700.86/569,156.16
  6. Step 6: Final answer
    x = 321,905.26

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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.