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Finding the Fourth Proportional to 364,824, 547,045.92 and 164,972.16

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Solution

The fourth proportional to 364,824, 547,045.92 and 164,972.16 is: 247,372.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,824 : 547,045.92 = 164,972.16 : x
  2. Step 2: Convert to fraction form
    364,824/547,045.92 = 164,972.16/x
  3. Step 3: Cross multiply
    364,824x = 547,045.92 × 164,972.16
  4. Step 4: Simplify right side
    364,824x = 90,247,347,041.59
  5. Step 5: Solve for x
    x = 90,247,347,041.59/364,824
  6. Step 6: Final answer
    x = 247,372.29

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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.