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Finding the Fourth Proportional to 256,432.40, 384,130.20 and 172,451.60

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Solution

The fourth proportional to 256,432.40, 384,130.20 and 172,451.60 is: 258,328.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,432.40 : 384,130.20 = 172,451.60 : x
  2. Step 2: Convert to fraction form
    256,432.40/384,130.20 = 172,451.60/x
  3. Step 3: Cross multiply
    256,432.40x = 384,130.20 × 172,451.60
  4. Step 4: Simplify right side
    256,432.40x = 66,243,867,598.32
  5. Step 5: Solve for x
    x = 66,243,867,598.32/256,432.40
  6. Step 6: Final answer
    x = 258,328.77

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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.