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Finding the Fourth Proportional to 383,969.60, 575,781.60 and 147,233.60

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Solution

The fourth proportional to 383,969.60, 575,781.60 and 147,233.60 is: 220,784.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,969.60 : 575,781.60 = 147,233.60 : x
  2. Step 2: Convert to fraction form
    383,969.60/575,781.60 = 147,233.60/x
  3. Step 3: Cross multiply
    383,969.60x = 575,781.60 × 147,233.60
  4. Step 4: Simplify right side
    383,969.60x = 84,774,397,781.76
  5. Step 5: Solve for x
    x = 84,774,397,781.76/383,969.60
  6. Step 6: Final answer
    x = 220,784.14

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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.