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Finding the Fourth Proportional to 277,809.81, 383,377.16 and 150,485.91

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Solution

The fourth proportional to 277,809.81, 383,377.16 and 150,485.91 is: 207,670.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,809.81 : 383,377.16 = 150,485.91 : x
  2. Step 2: Convert to fraction form
    277,809.81/383,377.16 = 150,485.91/x
  3. Step 3: Cross multiply
    277,809.81x = 383,377.16 × 150,485.91
  4. Step 4: Simplify right side
    277,809.81x = 57,692,860,043.39
  5. Step 5: Solve for x
    x = 57,692,860,043.39/277,809.81
  6. Step 6: Final answer
    x = 207,670.35

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1.5x scale

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.