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Finding the Fourth Proportional to 410,683.19, 566,725.88 and 229,394.25

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Solution

The fourth proportional to 410,683.19, 566,725.88 and 229,394.25 is: 316,554.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,683.19 : 566,725.88 = 229,394.25 : x
  2. Step 2: Convert to fraction form
    410,683.19/566,725.88 = 229,394.25/x
  3. Step 3: Cross multiply
    410,683.19x = 566,725.88 × 229,394.25
  4. Step 4: Simplify right side
    410,683.19x = 130,003,658,771.68
  5. Step 5: Solve for x
    x = 130,003,658,771.68/410,683.19
  6. Step 6: Final answer
    x = 316,554.62

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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.