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Finding the Fourth Proportional to 843,174, 1,163,959.56 and 537,659.92

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Solution

The fourth proportional to 843,174, 1,163,959.56 and 537,659.92 is: 742,212.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,174 : 1,163,959.56 = 537,659.92 : x
  2. Step 2: Convert to fraction form
    843,174/1,163,959.56 = 537,659.92/x
  3. Step 3: Cross multiply
    843,174x = 1,163,959.56 × 537,659.92
  4. Step 4: Simplify right side
    843,174x = 625,814,403,912.84
  5. Step 5: Solve for x
    x = 625,814,403,912.84/843,174
  6. Step 6: Final answer
    x = 742,212.64

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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.