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Finding the Fourth Proportional to 416,521.32, 574,809.96 and 255,465.17

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Solution

The fourth proportional to 416,521.32, 574,809.96 and 255,465.17 is: 352,548.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,521.32 : 574,809.96 = 255,465.17 : x
  2. Step 2: Convert to fraction form
    416,521.32/574,809.96 = 255,465.17/x
  3. Step 3: Cross multiply
    416,521.32x = 574,809.96 × 255,465.17
  4. Step 4: Simplify right side
    416,521.32x = 146,843,924,149.09
  5. Step 5: Solve for x
    x = 146,843,924,149.09/416,521.32
  6. Step 6: Final answer
    x = 352,548.40

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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.