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Finding the Fourth Proportional to 306,694.64, 460,114.71 and 96,332.58

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Solution

The fourth proportional to 306,694.64, 460,114.71 and 96,332.58 is: 144,521.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,694.64 : 460,114.71 = 96,332.58 : x
  2. Step 2: Convert to fraction form
    306,694.64/460,114.71 = 96,332.58/x
  3. Step 3: Cross multiply
    306,694.64x = 460,114.71 × 96,332.58
  4. Step 4: Simplify right side
    306,694.64x = 44,324,037,110.25
  5. Step 5: Solve for x
    x = 44,324,037,110.25/306,694.64
  6. Step 6: Final answer
    x = 144,521.72

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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.