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Finding the Fourth Proportional to 364,243.77, 546,234.39 and 153,898.11

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Solution

The fourth proportional to 364,243.77, 546,234.39 and 153,898.11 is: 230,791.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,243.77 : 546,234.39 = 153,898.11 : x
  2. Step 2: Convert to fraction form
    364,243.77/546,234.39 = 153,898.11/x
  3. Step 3: Cross multiply
    364,243.77x = 546,234.39 × 153,898.11
  4. Step 4: Simplify right side
    364,243.77x = 84,064,440,238.00
  5. Step 5: Solve for x
    x = 84,064,440,238.00/364,243.77
  6. Step 6: Final answer
    x = 230,791.70

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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.