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Finding the Fourth Proportional to 464,830.28, 697,153.61 and 127,783.97

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Solution

The fourth proportional to 464,830.28, 697,153.61 and 127,783.97 is: 191,650.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,830.28 : 697,153.61 = 127,783.97 : x
  2. Step 2: Convert to fraction form
    464,830.28/697,153.61 = 127,783.97/x
  3. Step 3: Cross multiply
    464,830.28x = 697,153.61 × 127,783.97
  4. Step 4: Simplify right side
    464,830.28x = 89,085,051,860.94
  5. Step 5: Solve for x
    x = 89,085,051,860.94/464,830.28
  6. Step 6: Final answer
    x = 191,650.71

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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.