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Finding the Fourth Proportional to 294,569.42, 406,480.83 and 165,497.81

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Solution

The fourth proportional to 294,569.42, 406,480.83 and 165,497.81 is: 228,372.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,569.42 : 406,480.83 = 165,497.81 : x
  2. Step 2: Convert to fraction form
    294,569.42/406,480.83 = 165,497.81/x
  3. Step 3: Cross multiply
    294,569.42x = 406,480.83 × 165,497.81
  4. Step 4: Simplify right side
    294,569.42x = 67,271,685,139.58
  5. Step 5: Solve for x
    x = 67,271,685,139.58/294,569.42
  6. Step 6: Final answer
    x = 228,372.95

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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.