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Finding the Fourth Proportional to 397,445.56, 596,327.64 and 144,743.66

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Solution

The fourth proportional to 397,445.56, 596,327.64 and 144,743.66 is: 217,173.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,445.56 : 596,327.64 = 144,743.66 : x
  2. Step 2: Convert to fraction form
    397,445.56/596,327.64 = 144,743.66/x
  3. Step 3: Cross multiply
    397,445.56x = 596,327.64 × 144,743.66
  4. Step 4: Simplify right side
    397,445.56x = 86,314,645,172.76
  5. Step 5: Solve for x
    x = 86,314,645,172.76/397,445.56
  6. Step 6: Final answer
    x = 217,173.50

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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.