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Finding the Fourth Proportional to 457,807.14, 686,831.00 and 188,018.82

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Solution

The fourth proportional to 457,807.14, 686,831.00 and 188,018.82 is: 282,077.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,807.14 : 686,831.00 = 188,018.82 : x
  2. Step 2: Convert to fraction form
    457,807.14/686,831.00 = 188,018.82/x
  3. Step 3: Cross multiply
    457,807.14x = 686,831.00 × 188,018.82
  4. Step 4: Simplify right side
    457,807.14x = 129,137,153,219.33
  5. Step 5: Solve for x
    x = 129,137,153,219.33/457,807.14
  6. Step 6: Final answer
    x = 282,077.63

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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.