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Finding the Fourth Proportional to 371,084.92, 512,097.38 and 201,319

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Solution

The fourth proportional to 371,084.92, 512,097.38 and 201,319 is: 277,820.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,084.92 : 512,097.38 = 201,319 : x
  2. Step 2: Convert to fraction form
    371,084.92/512,097.38 = 201,319/x
  3. Step 3: Cross multiply
    371,084.92x = 512,097.38 × 201,319
  4. Step 4: Simplify right side
    371,084.92x = 103,094,932,444.22
  5. Step 5: Solve for x
    x = 103,094,932,444.22/371,084.92
  6. Step 6: Final answer
    x = 277,820.32

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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.