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Finding the Fourth Proportional to 415,615.30, 623,277.15 and 215,869.30

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Solution

The fourth proportional to 415,615.30, 623,277.15 and 215,869.30 is: 323,728.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,615.30 : 623,277.15 = 215,869.30 : x
  2. Step 2: Convert to fraction form
    415,615.30/623,277.15 = 215,869.30/x
  3. Step 3: Cross multiply
    415,615.30x = 623,277.15 × 215,869.30
  4. Step 4: Simplify right side
    415,615.30x = 134,546,402,076.50
  5. Step 5: Solve for x
    x = 134,546,402,076.50/415,615.30
  6. Step 6: Final answer
    x = 323,728.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.