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Finding the Fourth Proportional to 277,291.84, 415,937.80 and 77,641.64

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Solution

The fourth proportional to 277,291.84, 415,937.80 and 77,641.64 is: 116,462.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,291.84 : 415,937.80 = 77,641.64 : x
  2. Step 2: Convert to fraction form
    277,291.84/415,937.80 = 77,641.64/x
  3. Step 3: Cross multiply
    277,291.84x = 415,937.80 × 77,641.64
  4. Step 4: Simplify right side
    277,291.84x = 32,294,092,929.99
  5. Step 5: Solve for x
    x = 32,294,092,929.99/277,291.84
  6. Step 6: Final answer
    x = 116,462.47

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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.