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Finding the Fourth Proportional to 745,713, 1,029,083.94 and 406,181.25

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Solution

The fourth proportional to 745,713, 1,029,083.94 and 406,181.25 is: 560,530.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,713 : 1,029,083.94 = 406,181.25 : x
  2. Step 2: Convert to fraction form
    745,713/1,029,083.94 = 406,181.25/x
  3. Step 3: Cross multiply
    745,713x = 1,029,083.94 × 406,181.25
  4. Step 4: Simplify right side
    745,713x = 417,994,601,104.13
  5. Step 5: Solve for x
    x = 417,994,601,104.13/745,713
  6. Step 6: Final answer
    x = 560,530.13

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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.