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Finding the Fourth Proportional to 284,384.88, 426,600 and 97,398

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Solution

The fourth proportional to 284,384.88, 426,600 and 97,398 is: 146,104.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,384.88 : 426,600 = 97,398 : x
  2. Step 2: Convert to fraction form
    284,384.88/426,600 = 97,398/x
  3. Step 3: Cross multiply
    284,384.88x = 426,600 × 97,398
  4. Step 4: Simplify right side
    284,384.88x = 41,549,986,800
  5. Step 5: Solve for x
    x = 41,549,986,800/284,384.88
  6. Step 6: Final answer
    x = 146,104.77

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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.