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Finding the Fourth Proportional to 412,759.44, 569,666.46 and 229,039.26

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Solution

The fourth proportional to 412,759.44, 569,666.46 and 229,039.26 is: 316,106.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,759.44 : 569,666.46 = 229,039.26 : x
  2. Step 2: Convert to fraction form
    412,759.44/569,666.46 = 229,039.26/x
  3. Step 3: Cross multiply
    412,759.44x = 569,666.46 × 229,039.26
  4. Step 4: Simplify right side
    412,759.44x = 130,475,984,445.22
  5. Step 5: Solve for x
    x = 130,475,984,445.22/412,759.44
  6. Step 6: Final answer
    x = 316,106.60

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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.