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Finding the Fourth Proportional to 405,927.60, 560,181.18 and 224,652.03

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Solution

The fourth proportional to 405,927.60, 560,181.18 and 224,652.03 is: 310,020.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,927.60 : 560,181.18 = 224,652.03 : x
  2. Step 2: Convert to fraction form
    405,927.60/560,181.18 = 224,652.03/x
  3. Step 3: Cross multiply
    405,927.60x = 560,181.18 × 224,652.03
  4. Step 4: Simplify right side
    405,927.60x = 125,845,839,254.80
  5. Step 5: Solve for x
    x = 125,845,839,254.80/405,927.60
  6. Step 6: Final answer
    x = 310,020.41

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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.