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Finding the Fourth Proportional to 314,114.97, 470,900.30 and 127,004.97

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Solution

The fourth proportional to 314,114.97, 470,900.30 and 127,004.97 is: 190,397.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,114.97 : 470,900.30 = 127,004.97 : x
  2. Step 2: Convert to fraction form
    314,114.97/470,900.30 = 127,004.97/x
  3. Step 3: Cross multiply
    314,114.97x = 470,900.30 × 127,004.97
  4. Step 4: Simplify right side
    314,114.97x = 59,806,677,839.47
  5. Step 5: Solve for x
    x = 59,806,677,839.47/314,114.97
  6. Step 6: Final answer
    x = 190,397.41

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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.