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Finding the Fourth Proportional to 277,509.42, 382,963.98 and 150,184.98

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Solution

The fourth proportional to 277,509.42, 382,963.98 and 150,184.98 is: 207,255.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,509.42 : 382,963.98 = 150,184.98 : x
  2. Step 2: Convert to fraction form
    277,509.42/382,963.98 = 150,184.98/x
  3. Step 3: Cross multiply
    277,509.42x = 382,963.98 × 150,184.98
  4. Step 4: Simplify right side
    277,509.42x = 57,515,437,677.02
  5. Step 5: Solve for x
    x = 57,515,437,677.02/277,509.42
  6. Step 6: Final answer
    x = 207,255.80

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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.