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Finding the Fourth Proportional to 416,319.14, 574,534.32 and 255,143.04

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Solution

The fourth proportional to 416,319.14, 574,534.32 and 255,143.04 is: 352,105.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,319.14 : 574,534.32 = 255,143.04 : x
  2. Step 2: Convert to fraction form
    416,319.14/574,534.32 = 255,143.04/x
  3. Step 3: Cross multiply
    416,319.14x = 574,534.32 × 255,143.04
  4. Step 4: Simplify right side
    416,319.14x = 146,588,432,989.13
  5. Step 5: Solve for x
    x = 146,588,432,989.13/416,319.14
  6. Step 6: Final answer
    x = 352,105.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.