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Finding the Fourth Proportional to 295,595.20, 443,392.80 and 206,948.80

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Solution

The fourth proportional to 295,595.20, 443,392.80 and 206,948.80 is: 310,423.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,595.20 : 443,392.80 = 206,948.80 : x
  2. Step 2: Convert to fraction form
    295,595.20/443,392.80 = 206,948.80/x
  3. Step 3: Cross multiply
    295,595.20x = 443,392.80 × 206,948.80
  4. Step 4: Simplify right side
    295,595.20x = 91,759,607,888.64
  5. Step 5: Solve for x
    x = 91,759,607,888.64/295,595.20
  6. Step 6: Final answer
    x = 310,423.20

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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.