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Finding the Fourth Proportional to 307,052.04, 460,381.32 and 212,016

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Solution

The fourth proportional to 307,052.04, 460,381.32 and 212,016 is: 317,888.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,052.04 : 460,381.32 = 212,016 : x
  2. Step 2: Convert to fraction form
    307,052.04/460,381.32 = 212,016/x
  3. Step 3: Cross multiply
    307,052.04x = 460,381.32 × 212,016
  4. Step 4: Simplify right side
    307,052.04x = 97,608,205,941.12
  5. Step 5: Solve for x
    x = 97,608,205,941.12/307,052.04
  6. Step 6: Final answer
    x = 317,888.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.