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Finding the Fourth Proportional to 464,776.92, 697,092.48 and 127,842.84

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Solution

The fourth proportional to 464,776.92, 697,092.48 and 127,842.84 is: 191,744.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,776.92 : 697,092.48 = 127,842.84 : x
  2. Step 2: Convert to fraction form
    464,776.92/697,092.48 = 127,842.84/x
  3. Step 3: Cross multiply
    464,776.92x = 697,092.48 × 127,842.84
  4. Step 4: Simplify right side
    464,776.92x = 89,118,282,385.84
  5. Step 5: Solve for x
    x = 89,118,282,385.84/464,776.92
  6. Step 6: Final answer
    x = 191,744.21

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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.