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Finding the Fourth Proportional to 277,387.95, 382,806.23 and 162,650.64

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Solution

The fourth proportional to 277,387.95, 382,806.23 and 162,650.64 is: 224,464.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,387.95 : 382,806.23 = 162,650.64 : x
  2. Step 2: Convert to fraction form
    277,387.95/382,806.23 = 162,650.64/x
  3. Step 3: Cross multiply
    277,387.95x = 382,806.23 × 162,650.64
  4. Step 4: Simplify right side
    277,387.95x = 62,263,677,492.23
  5. Step 5: Solve for x
    x = 62,263,677,492.23/277,387.95
  6. Step 6: Final answer
    x = 224,464.25

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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.