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Finding the Fourth Proportional to 277,761.60, 383,309.10 and 150,434.64

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Solution

The fourth proportional to 277,761.60, 383,309.10 and 150,434.64 is: 207,598.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,761.60 : 383,309.10 = 150,434.64 : x
  2. Step 2: Convert to fraction form
    277,761.60/383,309.10 = 150,434.64/x
  3. Step 3: Cross multiply
    277,761.60x = 383,309.10 × 150,434.64
  4. Step 4: Simplify right side
    277,761.60x = 57,662,966,467.22
  5. Step 5: Solve for x
    x = 57,662,966,467.22/277,761.60
  6. Step 6: Final answer
    x = 207,598.77

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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.