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Finding the Fourth Proportional to 491,043.72, 736,596.71 and 154,097.66

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Solution

The fourth proportional to 491,043.72, 736,596.71 and 154,097.66 is: 231,156.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,043.72 : 736,596.71 = 154,097.66 : x
  2. Step 2: Convert to fraction form
    491,043.72/736,596.71 = 154,097.66/x
  3. Step 3: Cross multiply
    491,043.72x = 736,596.71 × 154,097.66
  4. Step 4: Simplify right side
    491,043.72x = 113,507,829,374.70
  5. Step 5: Solve for x
    x = 113,507,829,374.70/491,043.72
  6. Step 6: Final answer
    x = 231,156.26

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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.