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Finding the Fourth Proportional to 277,604.61, 383,095.59 and 150,280.20

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Solution

The fourth proportional to 277,604.61, 383,095.59 and 150,280.20 is: 207,387.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,604.61 : 383,095.59 = 150,280.20 : x
  2. Step 2: Convert to fraction form
    277,604.61/383,095.59 = 150,280.20/x
  3. Step 3: Cross multiply
    277,604.61x = 383,095.59 × 150,280.20
  4. Step 4: Simplify right side
    277,604.61x = 57,571,681,884.32
  5. Step 5: Solve for x
    x = 57,571,681,884.32/277,604.61
  6. Step 6: Final answer
    x = 207,387.34

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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.