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Finding the Fourth Proportional to 333,720.76, 497,604.36 and 296,629.24

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Solution

The fourth proportional to 333,720.76, 497,604.36 and 296,629.24 is: 442,297.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,720.76 : 497,604.36 = 296,629.24 : x
  2. Step 2: Convert to fraction form
    333,720.76/497,604.36 = 296,629.24/x
  3. Step 3: Cross multiply
    333,720.76x = 497,604.36 × 296,629.24
  4. Step 4: Simplify right side
    333,720.76x = 147,604,003,127.49
  5. Step 5: Solve for x
    x = 147,604,003,127.49/333,720.76
  6. Step 6: Final answer
    x = 442,297.94

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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.