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Finding the Fourth Proportional to 665,297.80, 997,752.30 and 238,784.20

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Solution

The fourth proportional to 665,297.80, 997,752.30 and 238,784.20 is: 358,106.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,297.80 : 997,752.30 = 238,784.20 : x
  2. Step 2: Convert to fraction form
    665,297.80/997,752.30 = 238,784.20/x
  3. Step 3: Cross multiply
    665,297.80x = 997,752.30 × 238,784.20
  4. Step 4: Simplify right side
    665,297.80x = 238,247,484,753.66
  5. Step 5: Solve for x
    x = 238,247,484,753.66/665,297.80
  6. Step 6: Final answer
    x = 358,106.53

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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.