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Finding the Fourth Proportional to 277,689.66, 383,214.45 and 150,367.98

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Solution

The fourth proportional to 277,689.66, 383,214.45 and 150,367.98 is: 207,509.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,689.66 : 383,214.45 = 150,367.98 : x
  2. Step 2: Convert to fraction form
    277,689.66/383,214.45 = 150,367.98/x
  3. Step 3: Cross multiply
    277,689.66x = 383,214.45 × 150,367.98
  4. Step 4: Simplify right side
    277,689.66x = 57,623,182,753.31
  5. Step 5: Solve for x
    x = 57,623,182,753.31/277,689.66
  6. Step 6: Final answer
    x = 207,509.28

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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.