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Finding the Fourth Proportional to 284,658.48, 426,973.14 and 84,980.52

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Solution

The fourth proportional to 284,658.48, 426,973.14 and 84,980.52 is: 127,466.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,658.48 : 426,973.14 = 84,980.52 : x
  2. Step 2: Convert to fraction form
    284,658.48/426,973.14 = 84,980.52/x
  3. Step 3: Cross multiply
    284,658.48x = 426,973.14 × 84,980.52
  4. Step 4: Simplify right side
    284,658.48x = 36,284,399,463.23
  5. Step 5: Solve for x
    x = 36,284,399,463.23/284,658.48
  6. Step 6: Final answer
    x = 127,466.43

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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.