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Finding the Fourth Proportional to 501,864.46, 752,831.42 and 202,347.72

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Solution

The fourth proportional to 501,864.46, 752,831.42 and 202,347.72 is: 303,535.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,864.46 : 752,831.42 = 202,347.72 : x
  2. Step 2: Convert to fraction form
    501,864.46/752,831.42 = 202,347.72/x
  3. Step 3: Cross multiply
    501,864.46x = 752,831.42 × 202,347.72
  4. Step 4: Simplify right side
    501,864.46x = 152,333,720,369.62
  5. Step 5: Solve for x
    x = 152,333,720,369.62/501,864.46
  6. Step 6: Final answer
    x = 303,535.58

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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.