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Finding the Fourth Proportional to 308,075.40, 462,458.70 and 238,264.20

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Solution

The fourth proportional to 308,075.40, 462,458.70 and 238,264.20 is: 357,663.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,075.40 : 462,458.70 = 238,264.20 : x
  2. Step 2: Convert to fraction form
    308,075.40/462,458.70 = 238,264.20/x
  3. Step 3: Cross multiply
    308,075.40x = 462,458.70 × 238,264.20
  4. Step 4: Simplify right side
    308,075.40x = 110,187,352,188.54
  5. Step 5: Solve for x
    x = 110,187,352,188.54/308,075.40
  6. Step 6: Final answer
    x = 357,663.59

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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.