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Finding the Fourth Proportional to 463,869.69, 695,318.99 and 194,152.44

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Solution

The fourth proportional to 463,869.69, 695,318.99 and 194,152.44 is: 291,025.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,869.69 : 695,318.99 = 194,152.44 : x
  2. Step 2: Convert to fraction form
    463,869.69/695,318.99 = 194,152.44/x
  3. Step 3: Cross multiply
    463,869.69x = 695,318.99 × 194,152.44
  4. Step 4: Simplify right side
    463,869.69x = 134,997,880,123.52
  5. Step 5: Solve for x
    x = 134,997,880,123.52/463,869.69
  6. Step 6: Final answer
    x = 291,025.44

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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.