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Finding the Fourth Proportional to 294,810.60, 442,215.90 and 200,332.20

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Solution

The fourth proportional to 294,810.60, 442,215.90 and 200,332.20 is: 300,498.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,810.60 : 442,215.90 = 200,332.20 : x
  2. Step 2: Convert to fraction form
    294,810.60/442,215.90 = 200,332.20/x
  3. Step 3: Cross multiply
    294,810.60x = 442,215.90 × 200,332.20
  4. Step 4: Simplify right side
    294,810.60x = 88,590,084,121.98
  5. Step 5: Solve for x
    x = 88,590,084,121.98/294,810.60
  6. Step 6: Final answer
    x = 300,498.30

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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.