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Finding the Fourth Proportional to 333,095.70, 459,822.18 and 212,399.22

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Solution

The fourth proportional to 333,095.70, 459,822.18 and 212,399.22 is: 293,206.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,095.70 : 459,822.18 = 212,399.22 : x
  2. Step 2: Convert to fraction form
    333,095.70/459,822.18 = 212,399.22/x
  3. Step 3: Cross multiply
    333,095.70x = 459,822.18 × 212,399.22
  4. Step 4: Simplify right side
    333,095.70x = 97,665,872,370.70
  5. Step 5: Solve for x
    x = 97,665,872,370.70/333,095.70
  6. Step 6: Final answer
    x = 293,206.64

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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.