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Finding the Fourth Proportional to 333,106.35, 459,713.24 and 212,301.87

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Solution

The fourth proportional to 333,106.35, 459,713.24 and 212,301.87 is: 292,993.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,106.35 : 459,713.24 = 212,301.87 : x
  2. Step 2: Convert to fraction form
    333,106.35/459,713.24 = 212,301.87/x
  3. Step 3: Cross multiply
    333,106.35x = 459,713.24 × 212,301.87
  4. Step 4: Simplify right side
    333,106.35x = 97,597,980,515.76
  5. Step 5: Solve for x
    x = 97,597,980,515.76/333,106.35
  6. Step 6: Final answer
    x = 292,993.46

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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.