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Finding the Fourth Proportional to 584,776.91, 806,998.86 and 343,063.59

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Solution

The fourth proportional to 584,776.91, 806,998.86 and 343,063.59 is: 473,431.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,776.91 : 806,998.86 = 343,063.59 : x
  2. Step 2: Convert to fraction form
    584,776.91/806,998.86 = 343,063.59/x
  3. Step 3: Cross multiply
    584,776.91x = 806,998.86 × 343,063.59
  4. Step 4: Simplify right side
    584,776.91x = 276,851,926,037.51
  5. Step 5: Solve for x
    x = 276,851,926,037.51/584,776.91
  6. Step 6: Final answer
    x = 473,431.70

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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.