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Finding the Fourth Proportional to 413,293.46, 570,336.59 and 229,522.28

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Solution

The fourth proportional to 413,293.46, 570,336.59 and 229,522.28 is: 316,736.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,293.46 : 570,336.59 = 229,522.28 : x
  2. Step 2: Convert to fraction form
    413,293.46/570,336.59 = 229,522.28/x
  3. Step 3: Cross multiply
    413,293.46x = 570,336.59 × 229,522.28
  4. Step 4: Simplify right side
    413,293.46x = 130,904,952,226.35
  5. Step 5: Solve for x
    x = 130,904,952,226.35/413,293.46
  6. Step 6: Final answer
    x = 316,736.09

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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.