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Finding the Fourth Proportional to 569,906.06, 854,543.10 and 233,182.94

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Solution

The fourth proportional to 569,906.06, 854,543.10 and 233,182.94 is: 349,645.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,906.06 : 854,543.10 = 233,182.94 : x
  2. Step 2: Convert to fraction form
    569,906.06/854,543.10 = 233,182.94/x
  3. Step 3: Cross multiply
    569,906.06x = 854,543.10 × 233,182.94
  4. Step 4: Simplify right side
    569,906.06x = 199,264,872,414.71
  5. Step 5: Solve for x
    x = 199,264,872,414.71/569,906.06
  6. Step 6: Final answer
    x = 349,645.12

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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.