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Finding the Fourth Proportional to 462,176.46, 693,255.46 and 209,409.84

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Solution

The fourth proportional to 462,176.46, 693,255.46 and 209,409.84 is: 314,110.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,176.46 : 693,255.46 = 209,409.84 : x
  2. Step 2: Convert to fraction form
    462,176.46/693,255.46 = 209,409.84/x
  3. Step 3: Cross multiply
    462,176.46x = 693,255.46 × 209,409.84
  4. Step 4: Simplify right side
    462,176.46x = 145,174,514,957.73
  5. Step 5: Solve for x
    x = 145,174,514,957.73/462,176.46
  6. Step 6: Final answer
    x = 314,110.58

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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.