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Finding the Fourth Proportional to 232,465.50, 348,698.25 and 57,361.50

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Solution

The fourth proportional to 232,465.50, 348,698.25 and 57,361.50 is: 86,042.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,465.50 : 348,698.25 = 57,361.50 : x
  2. Step 2: Convert to fraction form
    232,465.50/348,698.25 = 57,361.50/x
  3. Step 3: Cross multiply
    232,465.50x = 348,698.25 × 57,361.50
  4. Step 4: Simplify right side
    232,465.50x = 20,001,854,667.38
  5. Step 5: Solve for x
    x = 20,001,854,667.38/232,465.50
  6. Step 6: Final answer
    x = 86,042.25

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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.