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Finding the Fourth Proportional to 569,633.70, 785,826.86 and 406,326.30

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Solution

The fourth proportional to 569,633.70, 785,826.86 and 406,326.30 is: 560,539.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,633.70 : 785,826.86 = 406,326.30 : x
  2. Step 2: Convert to fraction form
    569,633.70/785,826.86 = 406,326.30/x
  3. Step 3: Cross multiply
    569,633.70x = 785,826.86 × 406,326.30
  4. Step 4: Simplify right side
    569,633.70x = 319,302,120,464.42
  5. Step 5: Solve for x
    x = 319,302,120,464.42/569,633.70
  6. Step 6: Final answer
    x = 560,539.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.