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Finding the Fourth Proportional to 306,784.80, 460,192.80 and 96,424.80

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Solution

The fourth proportional to 306,784.80, 460,192.80 and 96,424.80 is: 144,642.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,784.80 : 460,192.80 = 96,424.80 : x
  2. Step 2: Convert to fraction form
    306,784.80/460,192.80 = 96,424.80/x
  3. Step 3: Cross multiply
    306,784.80x = 460,192.80 × 96,424.80
  4. Step 4: Simplify right side
    306,784.80x = 44,373,998,701.44
  5. Step 5: Solve for x
    x = 44,373,998,701.44/306,784.80
  6. Step 6: Final answer
    x = 144,642.10

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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.