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Finding the Fourth Proportional to 294,459.16, 406,309.46 and 165,392.68

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Solution

The fourth proportional to 294,459.16, 406,309.46 and 165,392.68 is: 228,217.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,459.16 : 406,309.46 = 165,392.68 : x
  2. Step 2: Convert to fraction form
    294,459.16/406,309.46 = 165,392.68/x
  3. Step 3: Cross multiply
    294,459.16x = 406,309.46 × 165,392.68
  4. Step 4: Simplify right side
    294,459.16x = 67,200,610,498.75
  5. Step 5: Solve for x
    x = 67,200,610,498.75/294,459.16
  6. Step 6: Final answer
    x = 228,217.08

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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.