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Finding the Fourth Proportional to 306,497.49, 459,786.40 and 101,263.96

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Solution

The fourth proportional to 306,497.49, 459,786.40 and 101,263.96 is: 151,909.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,497.49 : 459,786.40 = 101,263.96 : x
  2. Step 2: Convert to fraction form
    306,497.49/459,786.40 = 101,263.96/x
  3. Step 3: Cross multiply
    306,497.49x = 459,786.40 × 101,263.96
  4. Step 4: Simplify right side
    306,497.49x = 46,559,789,353.42
  5. Step 5: Solve for x
    x = 46,559,789,353.42/306,497.49
  6. Step 6: Final answer
    x = 151,909.20

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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.