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Finding the Fourth Proportional to 277,414.40, 382,830.32 and 156,594.96

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Solution

The fourth proportional to 277,414.40, 382,830.32 and 156,594.96 is: 216,100.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,414.40 : 382,830.32 = 156,594.96 : x
  2. Step 2: Convert to fraction form
    277,414.40/382,830.32 = 156,594.96/x
  3. Step 3: Cross multiply
    277,414.40x = 382,830.32 × 156,594.96
  4. Step 4: Simplify right side
    277,414.40x = 59,949,298,647.19
  5. Step 5: Solve for x
    x = 59,949,298,647.19/277,414.40
  6. Step 6: Final answer
    x = 216,100.17

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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.