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Finding the Fourth Proportional to 369,233.81, 509,583.40 and 214,219.25

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Solution

The fourth proportional to 369,233.81, 509,583.40 and 214,219.25 is: 295,646.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,233.81 : 509,583.40 = 214,219.25 : x
  2. Step 2: Convert to fraction form
    369,233.81/509,583.40 = 214,219.25/x
  3. Step 3: Cross multiply
    369,233.81x = 509,583.40 × 214,219.25
  4. Step 4: Simplify right side
    369,233.81x = 109,162,572,587.92
  5. Step 5: Solve for x
    x = 109,162,572,587.92/369,233.81
  6. Step 6: Final answer
    x = 295,646.20

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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.