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Finding the Fourth Proportional to 364,170.67, 546,477.44 and 153,808.61

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Solution

The fourth proportional to 364,170.67, 546,477.44 and 153,808.61 is: 230,806.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,170.67 : 546,477.44 = 153,808.61 : x
  2. Step 2: Convert to fraction form
    364,170.67/546,477.44 = 153,808.61/x
  3. Step 3: Cross multiply
    364,170.67x = 546,477.44 × 153,808.61
  4. Step 4: Simplify right side
    364,170.67x = 84,052,935,442.76
  5. Step 5: Solve for x
    x = 84,052,935,442.76/364,170.67
  6. Step 6: Final answer
    x = 230,806.44

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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.