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Finding the Fourth Proportional to 413,602.65, 570,759.22 and 229,840.60

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Solution

The fourth proportional to 413,602.65, 570,759.22 and 229,840.60 is: 317,173.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,602.65 : 570,759.22 = 229,840.60 : x
  2. Step 2: Convert to fraction form
    413,602.65/570,759.22 = 229,840.60/x
  3. Step 3: Cross multiply
    413,602.65x = 570,759.22 × 229,840.60
  4. Step 4: Simplify right side
    413,602.65x = 131,183,639,905.65
  5. Step 5: Solve for x
    x = 131,183,639,905.65/413,602.65
  6. Step 6: Final answer
    x = 317,173.11

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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.