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Finding the Fourth Proportional to 294,802.20, 442,203.30 and 201,490.20

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Solution

The fourth proportional to 294,802.20, 442,203.30 and 201,490.20 is: 302,235.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,802.20 : 442,203.30 = 201,490.20 : x
  2. Step 2: Convert to fraction form
    294,802.20/442,203.30 = 201,490.20/x
  3. Step 3: Cross multiply
    294,802.20x = 442,203.30 × 201,490.20
  4. Step 4: Simplify right side
    294,802.20x = 89,099,631,357.66
  5. Step 5: Solve for x
    x = 89,099,631,357.66/294,802.20
  6. Step 6: Final answer
    x = 302,235.30

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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.