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Finding the Fourth Proportional to 413,701.62, 570,915.98 and 229,957.44

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Solution

The fourth proportional to 413,701.62, 570,915.98 and 229,957.44 is: 317,345.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,701.62 : 570,915.98 = 229,957.44 : x
  2. Step 2: Convert to fraction form
    413,701.62/570,915.98 = 229,957.44/x
  3. Step 3: Cross multiply
    413,701.62x = 570,915.98 × 229,957.44
  4. Step 4: Simplify right side
    413,701.62x = 131,286,377,215.89
  5. Step 5: Solve for x
    x = 131,286,377,215.89/413,701.62
  6. Step 6: Final answer
    x = 317,345.57

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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.