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Finding the Fourth Proportional to 294,815.70, 442,298.07 and 117,322.02

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Solution

The fourth proportional to 294,815.70, 442,298.07 and 117,322.02 is: 176,012.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,815.70 : 442,298.07 = 117,322.02 : x
  2. Step 2: Convert to fraction form
    294,815.70/442,298.07 = 117,322.02/x
  3. Step 3: Cross multiply
    294,815.70x = 442,298.07 × 117,322.02
  4. Step 4: Simplify right side
    294,815.70x = 51,891,303,014.50
  5. Step 5: Solve for x
    x = 51,891,303,014.50/294,815.70
  6. Step 6: Final answer
    x = 176,012.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.