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Finding the Fourth Proportional to 411,382.22, 616,783.55 and 158,450.81

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Solution

The fourth proportional to 411,382.22, 616,783.55 and 158,450.81 is: 237,564.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,382.22 : 616,783.55 = 158,450.81 : x
  2. Step 2: Convert to fraction form
    411,382.22/616,783.55 = 158,450.81/x
  3. Step 3: Cross multiply
    411,382.22x = 616,783.55 × 158,450.81
  4. Step 4: Simplify right side
    411,382.22x = 97,729,849,216.00
  5. Step 5: Solve for x
    x = 97,729,849,216.00/411,382.22
  6. Step 6: Final answer
    x = 237,564.59

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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.