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Finding the Fourth Proportional to 380,612.16, 570,931.20 and 180,829.44

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Solution

The fourth proportional to 380,612.16, 570,931.20 and 180,829.44 is: 271,250.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,612.16 : 570,931.20 = 180,829.44 : x
  2. Step 2: Convert to fraction form
    380,612.16/570,931.20 = 180,829.44/x
  3. Step 3: Cross multiply
    380,612.16x = 570,931.20 × 180,829.44
  4. Step 4: Simplify right side
    380,612.16x = 103,241,169,174.53
  5. Step 5: Solve for x
    x = 103,241,169,174.53/380,612.16
  6. Step 6: Final answer
    x = 271,250.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.