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Finding the Fourth Proportional to 277,765.89, 383,316.94 and 150,441.49

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Solution

The fourth proportional to 277,765.89, 383,316.94 and 150,441.49 is: 207,609.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,765.89 : 383,316.94 = 150,441.49 : x
  2. Step 2: Convert to fraction form
    277,765.89/383,316.94 = 150,441.49/x
  3. Step 3: Cross multiply
    277,765.89x = 383,316.94 × 150,441.49
  4. Step 4: Simplify right side
    277,765.89x = 57,666,771,595.84
  5. Step 5: Solve for x
    x = 57,666,771,595.84/277,765.89
  6. Step 6: Final answer
    x = 207,609.26

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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.