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Finding the Fourth Proportional to 296,159.40, 442,943.10 and 264,796.20

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Solution

The fourth proportional to 296,159.40, 442,943.10 and 264,796.20 is: 396,035.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,159.40 : 442,943.10 = 264,796.20 : x
  2. Step 2: Convert to fraction form
    296,159.40/442,943.10 = 264,796.20/x
  3. Step 3: Cross multiply
    296,159.40x = 442,943.10 × 264,796.20
  4. Step 4: Simplify right side
    296,159.40x = 117,289,649,696.22
  5. Step 5: Solve for x
    x = 117,289,649,696.22/296,159.40
  6. Step 6: Final answer
    x = 396,035.55

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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.