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Finding the Fourth Proportional to 569,765.09, 854,332.13 and 233,042.22

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Solution

The fourth proportional to 569,765.09, 854,332.13 and 233,042.22 is: 349,434.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,765.09 : 854,332.13 = 233,042.22 : x
  2. Step 2: Convert to fraction form
    569,765.09/854,332.13 = 233,042.22/x
  3. Step 3: Cross multiply
    569,765.09x = 854,332.13 × 233,042.22
  4. Step 4: Simplify right side
    569,765.09x = 199,095,456,775.13
  5. Step 5: Solve for x
    x = 199,095,456,775.13/569,765.09
  6. Step 6: Final answer
    x = 349,434.28

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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.