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Finding the Fourth Proportional to 569,407.32, 854,169.30 and 214,719.66

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Solution

The fourth proportional to 569,407.32, 854,169.30 and 214,719.66 is: 322,101.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,407.32 : 854,169.30 = 214,719.66 : x
  2. Step 2: Convert to fraction form
    569,407.32/854,169.30 = 214,719.66/x
  3. Step 3: Cross multiply
    569,407.32x = 854,169.30 × 214,719.66
  4. Step 4: Simplify right side
    569,407.32x = 183,406,941,678.44
  5. Step 5: Solve for x
    x = 183,406,941,678.44/569,407.32
  6. Step 6: Final answer
    x = 322,101.48

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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.