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Finding the Fourth Proportional to 461,970.22, 692,955.44 and 173,836.12

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Solution

The fourth proportional to 461,970.22, 692,955.44 and 173,836.12 is: 260,754.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,970.22 : 692,955.44 = 173,836.12 : x
  2. Step 2: Convert to fraction form
    461,970.22/692,955.44 = 173,836.12/x
  3. Step 3: Cross multiply
    461,970.22x = 692,955.44 × 173,836.12
  4. Step 4: Simplify right side
    461,970.22x = 120,460,685,022.49
  5. Step 5: Solve for x
    x = 120,460,685,022.49/461,970.22
  6. Step 6: Final answer
    x = 260,754.22

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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.