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Finding the Fourth Proportional to 294,456.17, 406,359.52 and 165,417.44

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Solution

The fourth proportional to 294,456.17, 406,359.52 and 165,417.44 is: 228,281.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,456.17 : 406,359.52 = 165,417.44 : x
  2. Step 2: Convert to fraction form
    294,456.17/406,359.52 = 165,417.44/x
  3. Step 3: Cross multiply
    294,456.17x = 406,359.52 × 165,417.44
  4. Step 4: Simplify right side
    294,456.17x = 67,218,949,072.69
  5. Step 5: Solve for x
    x = 67,218,949,072.69/294,456.17
  6. Step 6: Final answer
    x = 228,281.68

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1.5x scale

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.