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Finding the Fourth Proportional to 466,407.92, 699,743.10 and 166,931.07

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Solution

The fourth proportional to 466,407.92, 699,743.10 and 166,931.07 is: 250,443.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,407.92 : 699,743.10 = 166,931.07 : x
  2. Step 2: Convert to fraction form
    466,407.92/699,743.10 = 166,931.07/x
  3. Step 3: Cross multiply
    466,407.92x = 699,743.10 × 166,931.07
  4. Step 4: Simplify right side
    466,407.92x = 116,808,863,573.46
  5. Step 5: Solve for x
    x = 116,808,863,573.46/466,407.92
  6. Step 6: Final answer
    x = 250,443.57

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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.