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Finding the Fourth Proportional to 306,696.10, 460,062.52 and 96,334.03

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Solution

The fourth proportional to 306,696.10, 460,062.52 and 96,334.03 is: 144,506.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,696.10 : 460,062.52 = 96,334.03 : x
  2. Step 2: Convert to fraction form
    306,696.10/460,062.52 = 96,334.03/x
  3. Step 3: Cross multiply
    306,696.10x = 460,062.52 × 96,334.03
  4. Step 4: Simplify right side
    306,696.10x = 44,319,676,603.56
  5. Step 5: Solve for x
    x = 44,319,676,603.56/306,696.10
  6. Step 6: Final answer
    x = 144,506.82

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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.