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Finding the Fourth Proportional to 385,674.84, 578,452.86 and 105,213.96

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Solution

The fourth proportional to 385,674.84, 578,452.86 and 105,213.96 is: 157,804.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,674.84 : 578,452.86 = 105,213.96 : x
  2. Step 2: Convert to fraction form
    385,674.84/578,452.86 = 105,213.96/x
  3. Step 3: Cross multiply
    385,674.84x = 578,452.86 × 105,213.96
  4. Step 4: Simplify right side
    385,674.84x = 60,861,316,073.93
  5. Step 5: Solve for x
    x = 60,861,316,073.93/385,674.84
  6. Step 6: Final answer
    x = 157,804.74

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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.