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Finding the Fourth Proportional to 492,987.16, 680,322.33 and 266,632.66

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Solution

The fourth proportional to 492,987.16, 680,322.33 and 266,632.66 is: 367,953.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,987.16 : 680,322.33 = 266,632.66 : x
  2. Step 2: Convert to fraction form
    492,987.16/680,322.33 = 266,632.66/x
  3. Step 3: Cross multiply
    492,987.16x = 680,322.33 × 266,632.66
  4. Step 4: Simplify right side
    492,987.16x = 181,396,152,505.30
  5. Step 5: Solve for x
    x = 181,396,152,505.30/492,987.16
  6. Step 6: Final answer
    x = 367,953.10

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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.