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Finding the Fourth Proportional to 611,727.26, 843,993.14 and 353,510.12

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Solution

The fourth proportional to 611,727.26, 843,993.14 and 353,510.12 is: 487,733.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,727.26 : 843,993.14 = 353,510.12 : x
  2. Step 2: Convert to fraction form
    611,727.26/843,993.14 = 353,510.12/x
  3. Step 3: Cross multiply
    611,727.26x = 843,993.14 × 353,510.12
  4. Step 4: Simplify right side
    611,727.26x = 298,360,116,543.01
  5. Step 5: Solve for x
    x = 298,360,116,543.01/611,727.26
  6. Step 6: Final answer
    x = 487,733.89

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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.