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Finding the Fourth Proportional to 306,855.42, 460,299.54 and 96,509.76

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Solution

The fourth proportional to 306,855.42, 460,299.54 and 96,509.76 is: 144,769.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,855.42 : 460,299.54 = 96,509.76 : x
  2. Step 2: Convert to fraction form
    306,855.42/460,299.54 = 96,509.76/x
  3. Step 3: Cross multiply
    306,855.42x = 460,299.54 × 96,509.76
  4. Step 4: Simplify right side
    306,855.42x = 44,423,398,544.18
  5. Step 5: Solve for x
    x = 44,423,398,544.18/306,855.42
  6. Step 6: Final answer
    x = 144,769.80

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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.