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Finding the Fourth Proportional to 277,809.39, 383,378.80 and 150,484.98

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Solution

The fourth proportional to 277,809.39, 383,378.80 and 150,484.98 is: 207,670.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,809.39 : 383,378.80 = 150,484.98 : x
  2. Step 2: Convert to fraction form
    277,809.39/383,378.80 = 150,484.98/x
  3. Step 3: Cross multiply
    277,809.39x = 383,378.80 × 150,484.98
  4. Step 4: Simplify right side
    277,809.39x = 57,692,750,298.00
  5. Step 5: Solve for x
    x = 57,692,750,298.00/277,809.39
  6. Step 6: Final answer
    x = 207,670.27

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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.