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Finding the Fourth Proportional to 464,710.77, 697,010.81 and 127,785.60

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Solution

The fourth proportional to 464,710.77, 697,010.81 and 127,785.60 is: 191,663.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,710.77 : 697,010.81 = 127,785.60 : x
  2. Step 2: Convert to fraction form
    464,710.77/697,010.81 = 127,785.60/x
  3. Step 3: Cross multiply
    464,710.77x = 697,010.81 × 127,785.60
  4. Step 4: Simplify right side
    464,710.77x = 89,067,943,923.41
  5. Step 5: Solve for x
    x = 89,067,943,923.41/464,710.77
  6. Step 6: Final answer
    x = 191,663.18

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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.