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Finding the Fourth Proportional to 348,700, 523,127.76 and 127,084

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Solution

The fourth proportional to 348,700, 523,127.76 and 127,084 is: 190,654.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,700 : 523,127.76 = 127,084 : x
  2. Step 2: Convert to fraction form
    348,700/523,127.76 = 127,084/x
  3. Step 3: Cross multiply
    348,700x = 523,127.76 × 127,084
  4. Step 4: Simplify right side
    348,700x = 66,481,168,251.84
  5. Step 5: Solve for x
    x = 66,481,168,251.84/348,700
  6. Step 6: Final answer
    x = 190,654.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.