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Finding the Fourth Proportional to 295,277.80, 442,916.70 and 206,804.20

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Solution

The fourth proportional to 295,277.80, 442,916.70 and 206,804.20 is: 310,206.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,277.80 : 442,916.70 = 206,804.20 : x
  2. Step 2: Convert to fraction form
    295,277.80/442,916.70 = 206,804.20/x
  3. Step 3: Cross multiply
    295,277.80x = 442,916.70 × 206,804.20
  4. Step 4: Simplify right side
    295,277.80x = 91,597,033,810.14
  5. Step 5: Solve for x
    x = 91,597,033,810.14/295,277.80
  6. Step 6: Final answer
    x = 310,206.30

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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.