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Finding the Fourth Proportional to 294,457.17, 406,360.90 and 165,418.44

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Solution

The fourth proportional to 294,457.17, 406,360.90 and 165,418.44 is: 228,283.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,457.17 : 406,360.90 = 165,418.44 : x
  2. Step 2: Convert to fraction form
    294,457.17/406,360.90 = 165,418.44/x
  3. Step 3: Cross multiply
    294,457.17x = 406,360.90 × 165,418.44
  4. Step 4: Simplify right side
    294,457.17x = 67,219,586,155.00
  5. Step 5: Solve for x
    x = 67,219,586,155.00/294,457.17
  6. Step 6: Final answer
    x = 228,283.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.