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Finding the Fourth Proportional to 306,432.56, 459,647.30 and 78,727.93

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Solution

The fourth proportional to 306,432.56, 459,647.30 and 78,727.93 is: 118,091.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,432.56 : 459,647.30 = 78,727.93 : x
  2. Step 2: Convert to fraction form
    306,432.56/459,647.30 = 78,727.93/x
  3. Step 3: Cross multiply
    306,432.56x = 459,647.30 × 78,727.93
  4. Step 4: Simplify right side
    306,432.56x = 36,187,080,459.09
  5. Step 5: Solve for x
    x = 36,187,080,459.09/306,432.56
  6. Step 6: Final answer
    x = 118,091.50

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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.