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Finding the Fourth Proportional to 413,725.77, 570,928.23 and 229,963.41

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Solution

The fourth proportional to 413,725.77, 570,928.23 and 229,963.41 is: 317,342.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,725.77 : 570,928.23 = 229,963.41 : x
  2. Step 2: Convert to fraction form
    413,725.77/570,928.23 = 229,963.41/x
  3. Step 3: Cross multiply
    413,725.77x = 570,928.23 × 229,963.41
  4. Step 4: Simplify right side
    413,725.77x = 131,292,602,636.06
  5. Step 5: Solve for x
    x = 131,292,602,636.06/413,725.77
  6. Step 6: Final answer
    x = 317,342.10

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