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Finding the Fourth Proportional to 277,390.46, 382,809.68 and 162,653.14

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Solution

The fourth proportional to 277,390.46, 382,809.68 and 162,653.14 is: 224,467.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,390.46 : 382,809.68 = 162,653.14 : x
  2. Step 2: Convert to fraction form
    277,390.46/382,809.68 = 162,653.14/x
  3. Step 3: Cross multiply
    277,390.46x = 382,809.68 × 162,653.14
  4. Step 4: Simplify right side
    277,390.46x = 62,265,196,474.40
  5. Step 5: Solve for x
    x = 62,265,196,474.40/277,390.46
  6. Step 6: Final answer
    x = 224,467.69

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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.