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Finding the Fourth Proportional to 314,116.47, 470,902.55 and 127,006.47

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Solution

The fourth proportional to 314,116.47, 470,902.55 and 127,006.47 is: 190,399.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,116.47 : 470,902.55 = 127,006.47 : x
  2. Step 2: Convert to fraction form
    314,116.47/470,902.55 = 127,006.47/x
  3. Step 3: Cross multiply
    314,116.47x = 470,902.55 × 127,006.47
  4. Step 4: Simplify right side
    314,116.47x = 59,807,669,954.47
  5. Step 5: Solve for x
    x = 59,807,669,954.47/314,116.47
  6. Step 6: Final answer
    x = 190,399.66

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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.