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Finding the Fourth Proportional to 306,950.84, 460,382.46 and 96,583.28

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Solution

The fourth proportional to 306,950.84, 460,382.46 and 96,583.28 is: 144,861.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,950.84 : 460,382.46 = 96,583.28 : x
  2. Step 2: Convert to fraction form
    306,950.84/460,382.46 = 96,583.28/x
  3. Step 3: Cross multiply
    306,950.84x = 460,382.46 × 96,583.28
  4. Step 4: Simplify right side
    306,950.84x = 44,465,248,041.27
  5. Step 5: Solve for x
    x = 44,465,248,041.27/306,950.84
  6. Step 6: Final answer
    x = 144,861.14

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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.