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Finding the Fourth Proportional to 308,077.40, 462,461.70 and 238,266.20

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Solution

The fourth proportional to 308,077.40, 462,461.70 and 238,266.20 is: 357,666.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,077.40 : 462,461.70 = 238,266.20 : x
  2. Step 2: Convert to fraction form
    308,077.40/462,461.70 = 238,266.20/x
  3. Step 3: Cross multiply
    308,077.40x = 462,461.70 × 238,266.20
  4. Step 4: Simplify right side
    308,077.40x = 110,188,991,904.54
  5. Step 5: Solve for x
    x = 110,188,991,904.54/308,077.40
  6. Step 6: Final answer
    x = 357,666.59

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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.