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Finding the Fourth Proportional to 295,298.70, 442,948.05 and 201,986.70

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Solution

The fourth proportional to 295,298.70, 442,948.05 and 201,986.70 is: 302,980.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,298.70 : 442,948.05 = 201,986.70 : x
  2. Step 2: Convert to fraction form
    295,298.70/442,948.05 = 201,986.70/x
  3. Step 3: Cross multiply
    295,298.70x = 442,948.05 × 201,986.70
  4. Step 4: Simplify right side
    295,298.70x = 89,469,614,890.94
  5. Step 5: Solve for x
    x = 89,469,614,890.94/295,298.70
  6. Step 6: Final answer
    x = 302,980.05

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1.5x scale

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.