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Finding the Fourth Proportional to 369,513.91, 509,933.88 and 224,277.67

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Solution

The fourth proportional to 369,513.91, 509,933.88 and 224,277.67 is: 309,506.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,513.91 : 509,933.88 = 224,277.67 : x
  2. Step 2: Convert to fraction form
    369,513.91/509,933.88 = 224,277.67/x
  3. Step 3: Cross multiply
    369,513.91x = 509,933.88 × 224,277.67
  4. Step 4: Simplify right side
    369,513.91x = 114,366,782,460.46
  5. Step 5: Solve for x
    x = 114,366,782,460.46/369,513.91
  6. Step 6: Final answer
    x = 309,506.03

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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.