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Finding the Fourth Proportional to 384,052.18, 575,831.60 and 159,567.70

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Solution

The fourth proportional to 384,052.18, 575,831.60 and 159,567.70 is: 239,249.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,052.18 : 575,831.60 = 159,567.70 : x
  2. Step 2: Convert to fraction form
    384,052.18/575,831.60 = 159,567.70/x
  3. Step 3: Cross multiply
    384,052.18x = 575,831.60 × 159,567.70
  4. Step 4: Simplify right side
    384,052.18x = 91,884,123,999.32
  5. Step 5: Solve for x
    x = 91,884,123,999.32/384,052.18
  6. Step 6: Final answer
    x = 239,249.06

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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.