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Finding the Fourth Proportional to 277,276.57, 415,898.45 and 77,592.53

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Solution

The fourth proportional to 277,276.57, 415,898.45 and 77,592.53 is: 116,384.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,276.57 : 415,898.45 = 77,592.53 : x
  2. Step 2: Convert to fraction form
    277,276.57/415,898.45 = 77,592.53/x
  3. Step 3: Cross multiply
    277,276.57x = 415,898.45 × 77,592.53
  4. Step 4: Simplify right side
    277,276.57x = 32,270,613,187.48
  5. Step 5: Solve for x
    x = 32,270,613,187.48/277,276.57
  6. Step 6: Final answer
    x = 116,384.21

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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.