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Finding the Fourth Proportional to 284,747.04, 427,124.70 and 74,385

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Solution

The fourth proportional to 284,747.04, 427,124.70 and 74,385 is: 111,578.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,747.04 : 427,124.70 = 74,385 : x
  2. Step 2: Convert to fraction form
    284,747.04/427,124.70 = 74,385/x
  3. Step 3: Cross multiply
    284,747.04x = 427,124.70 × 74,385
  4. Step 4: Simplify right side
    284,747.04x = 31,771,670,809.50
  5. Step 5: Solve for x
    x = 31,771,670,809.50/284,747.04
  6. Step 6: Final answer
    x = 111,578.58

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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.