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Finding the Fourth Proportional to 492,786.60, 680,044.02 and 266,432.10

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Solution

The fourth proportional to 492,786.60, 680,044.02 and 266,432.10 is: 367,675.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,786.60 : 680,044.02 = 266,432.10 : x
  2. Step 2: Convert to fraction form
    492,786.60/680,044.02 = 266,432.10/x
  3. Step 3: Cross multiply
    492,786.60x = 680,044.02 × 266,432.10
  4. Step 4: Simplify right side
    492,786.60x = 181,185,556,341.04
  5. Step 5: Solve for x
    x = 181,185,556,341.04/492,786.60
  6. Step 6: Final answer
    x = 367,675.49

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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.