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Finding the Fourth Proportional to 333,096.30, 460,008.72 and 212,294.52

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Solution

The fourth proportional to 333,096.30, 460,008.72 and 212,294.52 is: 293,180.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,096.30 : 460,008.72 = 212,294.52 : x
  2. Step 2: Convert to fraction form
    333,096.30/460,008.72 = 212,294.52/x
  3. Step 3: Cross multiply
    333,096.30x = 460,008.72 × 212,294.52
  4. Step 4: Simplify right side
    333,096.30x = 97,657,330,408.21
  5. Step 5: Solve for x
    x = 97,657,330,408.21/333,096.30
  6. Step 6: Final answer
    x = 293,180.47

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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.