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Finding the Fourth Proportional to 294,559.50, 441,873.86 and 105,046.81

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Solution

The fourth proportional to 294,559.50, 441,873.86 and 105,046.81 is: 157,582.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,559.50 : 441,873.86 = 105,046.81 : x
  2. Step 2: Convert to fraction form
    294,559.50/441,873.86 = 105,046.81/x
  3. Step 3: Cross multiply
    294,559.50x = 441,873.86 × 105,046.81
  4. Step 4: Simplify right side
    294,559.50x = 46,417,437,785.47
  5. Step 5: Solve for x
    x = 46,417,437,785.47/294,559.50
  6. Step 6: Final answer
    x = 157,582.55

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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.