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Finding the Fourth Proportional to 413,376.32, 570,466.32 and 229,610

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Solution

The fourth proportional to 413,376.32, 570,466.32 and 229,610 is: 316,865.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,376.32 : 570,466.32 = 229,610 : x
  2. Step 2: Convert to fraction form
    413,376.32/570,466.32 = 229,610/x
  3. Step 3: Cross multiply
    413,376.32x = 570,466.32 × 229,610
  4. Step 4: Simplify right side
    413,376.32x = 130,984,771,735.20
  5. Step 5: Solve for x
    x = 130,984,771,735.20/413,376.32
  6. Step 6: Final answer
    x = 316,865.69

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Why These Related Problems?

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