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Finding the Fourth Proportional to 491,043.53, 736,596.43 and 154,097.47

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Solution

The fourth proportional to 491,043.53, 736,596.43 and 154,097.47 is: 231,155.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,043.53 : 736,596.43 = 154,097.47 : x
  2. Step 2: Convert to fraction form
    491,043.53/736,596.43 = 154,097.47/x
  3. Step 3: Cross multiply
    491,043.53x = 736,596.43 × 154,097.47
  4. Step 4: Simplify right side
    491,043.53x = 113,507,646,274.03
  5. Step 5: Solve for x
    x = 113,507,646,274.03/491,043.53
  6. Step 6: Final answer
    x = 231,155.98

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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.