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Finding the Fourth Proportional to 413,706.62, 570,922.88 and 229,962.44

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Solution

The fourth proportional to 413,706.62, 570,922.88 and 229,962.44 is: 317,352.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,706.62 : 570,922.88 = 229,962.44 : x
  2. Step 2: Convert to fraction form
    413,706.62/570,922.88 = 229,962.44/x
  3. Step 3: Cross multiply
    413,706.62x = 570,922.88 × 229,962.44
  4. Step 4: Simplify right side
    413,706.62x = 131,290,818,536.63
  5. Step 5: Solve for x
    x = 131,290,818,536.63/413,706.62
  6. Step 6: Final answer
    x = 317,352.47

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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.