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Finding the Fourth Proportional to 333,740.80, 497,634.18 and 296,649.28

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Solution

The fourth proportional to 333,740.80, 497,634.18 and 296,649.28 is: 442,327.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,740.80 : 497,634.18 = 296,649.28 : x
  2. Step 2: Convert to fraction form
    333,740.80/497,634.18 = 296,649.28/x
  3. Step 3: Cross multiply
    333,740.80x = 497,634.18 × 296,649.28
  4. Step 4: Simplify right side
    333,740.80x = 147,622,821,200.39
  5. Step 5: Solve for x
    x = 147,622,821,200.39/333,740.80
  6. Step 6: Final answer
    x = 442,327.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.