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Finding the Fourth Proportional to 364,620.65, 546,930.97 and 98,381.16

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Solution

The fourth proportional to 364,620.65, 546,930.97 and 98,381.16 is: 147,571.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,620.65 : 546,930.97 = 98,381.16 : x
  2. Step 2: Convert to fraction form
    364,620.65/546,930.97 = 98,381.16/x
  3. Step 3: Cross multiply
    364,620.65x = 546,930.97 × 98,381.16
  4. Step 4: Simplify right side
    364,620.65x = 53,807,703,268.53
  5. Step 5: Solve for x
    x = 53,807,703,268.53/364,620.65
  6. Step 6: Final answer
    x = 147,571.74

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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.