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Finding the Fourth Proportional to 295,329.80, 442,994.70 and 206,683.40

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Solution

The fourth proportional to 295,329.80, 442,994.70 and 206,683.40 is: 310,025.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,329.80 : 442,994.70 = 206,683.40 : x
  2. Step 2: Convert to fraction form
    295,329.80/442,994.70 = 206,683.40/x
  3. Step 3: Cross multiply
    295,329.80x = 442,994.70 × 206,683.40
  4. Step 4: Simplify right side
    295,329.80x = 91,559,650,777.98
  5. Step 5: Solve for x
    x = 91,559,650,777.98/295,329.80
  6. Step 6: Final answer
    x = 310,025.10

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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.