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Finding the Fourth Proportional to 978,046.20, 1,467,506.70 and 347,412.60

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Solution

The fourth proportional to 978,046.20, 1,467,506.70 and 347,412.60 is: 521,274.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,046.20 : 1,467,506.70 = 347,412.60 : x
  2. Step 2: Convert to fraction form
    978,046.20/1,467,506.70 = 347,412.60/x
  3. Step 3: Cross multiply
    978,046.20x = 1,467,506.70 × 347,412.60
  4. Step 4: Simplify right side
    978,046.20x = 509,830,318,164.42
  5. Step 5: Solve for x
    x = 509,830,318,164.42/978,046.20
  6. Step 6: Final answer
    x = 521,274.27

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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.