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Finding the Fourth Proportional to 491,205.06, 736,807.59 and 175,642.83

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Solution

The fourth proportional to 491,205.06, 736,807.59 and 175,642.83 is: 263,464.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,205.06 : 736,807.59 = 175,642.83 : x
  2. Step 2: Convert to fraction form
    491,205.06/736,807.59 = 175,642.83/x
  3. Step 3: Cross multiply
    491,205.06x = 736,807.59 × 175,642.83
  4. Step 4: Simplify right side
    491,205.06x = 129,414,970,273.08
  5. Step 5: Solve for x
    x = 129,414,970,273.08/491,205.06
  6. Step 6: Final answer
    x = 263,464.25

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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.