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Finding the Fourth Proportional to 333,098.30, 460,011.48 and 212,296.52

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Solution

The fourth proportional to 333,098.30, 460,011.48 and 212,296.52 is: 293,183.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,098.30 : 460,011.48 = 212,296.52 : x
  2. Step 2: Convert to fraction form
    333,098.30/460,011.48 = 212,296.52/x
  3. Step 3: Cross multiply
    333,098.30x = 460,011.48 × 212,296.52
  4. Step 4: Simplify right side
    333,098.30x = 97,658,836,364.05
  5. Step 5: Solve for x
    x = 97,658,836,364.05/333,098.30
  6. Step 6: Final answer
    x = 293,183.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.