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Finding the Fourth Proportional to 277,866.46, 383,457.59 and 150,542.07

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Solution

The fourth proportional to 277,866.46, 383,457.59 and 150,542.07 is: 207,749.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,866.46 : 383,457.59 = 150,542.07 : x
  2. Step 2: Convert to fraction form
    277,866.46/383,457.59 = 150,542.07/x
  3. Step 3: Cross multiply
    277,866.46x = 383,457.59 × 150,542.07
  4. Step 4: Simplify right side
    277,866.46x = 57,726,499,355.81
  5. Step 5: Solve for x
    x = 57,726,499,355.81/277,866.46
  6. Step 6: Final answer
    x = 207,749.07

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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.