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Finding the Fourth Proportional to 415,205.14, 623,004.54 and 247,057.64

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Solution

The fourth proportional to 415,205.14, 623,004.54 and 247,057.64 is: 370,703.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,205.14 : 623,004.54 = 247,057.64 : x
  2. Step 2: Convert to fraction form
    415,205.14/623,004.54 = 247,057.64/x
  3. Step 3: Cross multiply
    415,205.14x = 623,004.54 × 247,057.64
  4. Step 4: Simplify right side
    415,205.14x = 153,918,031,361.69
  5. Step 5: Solve for x
    x = 153,918,031,361.69/415,205.14
  6. Step 6: Final answer
    x = 370,703.58

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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.