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Finding the Fourth Proportional to 333,810.02, 498,286.81 and 309,140.66

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Solution

The fourth proportional to 333,810.02, 498,286.81 and 309,140.66 is: 461,462.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,810.02 : 498,286.81 = 309,140.66 : x
  2. Step 2: Convert to fraction form
    333,810.02/498,286.81 = 309,140.66/x
  3. Step 3: Cross multiply
    333,810.02x = 498,286.81 × 309,140.66
  4. Step 4: Simplify right side
    333,810.02x = 154,040,710,048.41
  5. Step 5: Solve for x
    x = 154,040,710,048.41/333,810.02
  6. Step 6: Final answer
    x = 461,462.22

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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.