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Finding the Fourth Proportional to 464,807.49, 697,096.41 and 127,831.77

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Solution

The fourth proportional to 464,807.49, 697,096.41 and 127,831.77 is: 191,716.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,807.49 : 697,096.41 = 127,831.77 : x
  2. Step 2: Convert to fraction form
    464,807.49/697,096.41 = 127,831.77/x
  3. Step 3: Cross multiply
    464,807.49x = 697,096.41 × 127,831.77
  4. Step 4: Simplify right side
    464,807.49x = 89,111,067,950.95
  5. Step 5: Solve for x
    x = 89,111,067,950.95/464,807.49
  6. Step 6: Final answer
    x = 191,716.08

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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.