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Finding the Fourth Proportional to 745,959, 1,029,410.34 and 406,429.64

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Solution

The fourth proportional to 745,959, 1,029,410.34 and 406,429.64 is: 560,865.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,959 : 1,029,410.34 = 406,429.64 : x
  2. Step 2: Convert to fraction form
    745,959/1,029,410.34 = 406,429.64/x
  3. Step 3: Cross multiply
    745,959x = 1,029,410.34 × 406,429.64
  4. Step 4: Simplify right side
    745,959x = 418,382,873,898.48
  5. Step 5: Solve for x
    x = 418,382,873,898.48/745,959
  6. Step 6: Final answer
    x = 560,865.78

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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.