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Finding the Fourth Proportional to 611,596.57, 917,031.46 and 232,545.02

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Solution

The fourth proportional to 611,596.57, 917,031.46 and 232,545.02 is: 348,679.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,596.57 : 917,031.46 = 232,545.02 : x
  2. Step 2: Convert to fraction form
    611,596.57/917,031.46 = 232,545.02/x
  3. Step 3: Cross multiply
    611,596.57x = 917,031.46 × 232,545.02
  4. Step 4: Simplify right side
    611,596.57x = 213,251,099,206.33
  5. Step 5: Solve for x
    x = 213,251,099,206.33/611,596.57
  6. Step 6: Final answer
    x = 348,679.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.