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Finding the Fourth Proportional to 333,094.70, 459,820.80 and 212,398.22

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Solution

The fourth proportional to 333,094.70, 459,820.80 and 212,398.22 is: 293,205.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,094.70 : 459,820.80 = 212,398.22 : x
  2. Step 2: Convert to fraction form
    333,094.70/459,820.80 = 212,398.22/x
  3. Step 3: Cross multiply
    333,094.70x = 459,820.80 × 212,398.22
  4. Step 4: Simplify right side
    333,094.70x = 97,665,119,438.98
  5. Step 5: Solve for x
    x = 97,665,119,438.98/333,094.70
  6. Step 6: Final answer
    x = 293,205.26

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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.