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Finding the Fourth Proportional to 569,732.83, 854,335.77 and 209,812.81

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Solution

The fourth proportional to 569,732.83, 854,335.77 and 209,812.81 is: 314,622.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,732.83 : 854,335.77 = 209,812.81 : x
  2. Step 2: Convert to fraction form
    569,732.83/854,335.77 = 209,812.81/x
  3. Step 3: Cross multiply
    569,732.83x = 854,335.77 × 209,812.81
  4. Step 4: Simplify right side
    569,732.83x = 179,250,588,587.21
  5. Step 5: Solve for x
    x = 179,250,588,587.21/569,732.83
  6. Step 6: Final answer
    x = 314,622.19

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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.