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Finding the Fourth Proportional to 306,952.84, 460,385.46 and 96,585.28

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Solution

The fourth proportional to 306,952.84, 460,385.46 and 96,585.28 is: 144,864.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,952.84 : 460,385.46 = 96,585.28 : x
  2. Step 2: Convert to fraction form
    306,952.84/460,385.46 = 96,585.28/x
  3. Step 3: Cross multiply
    306,952.84x = 460,385.46 × 96,585.28
  4. Step 4: Simplify right side
    306,952.84x = 44,466,458,562.03
  5. Step 5: Solve for x
    x = 44,466,458,562.03/306,952.84
  6. Step 6: Final answer
    x = 144,864.14

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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.