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Finding the Fourth Proportional to 347,653.40, 521,268.90 and 137,048.60

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Solution

The fourth proportional to 347,653.40, 521,268.90 and 137,048.60 is: 205,489.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,653.40 : 521,268.90 = 137,048.60 : x
  2. Step 2: Convert to fraction form
    347,653.40/521,268.90 = 137,048.60/x
  3. Step 3: Cross multiply
    347,653.40x = 521,268.90 × 137,048.60
  4. Step 4: Simplify right side
    347,653.40x = 71,439,172,968.54
  5. Step 5: Solve for x
    x = 71,439,172,968.54/347,653.40
  6. Step 6: Final answer
    x = 205,489.64

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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.