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Finding the Fourth Proportional to 366,946, 550,498.02 and 114,221.14

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Solution

The fourth proportional to 366,946, 550,498.02 and 114,221.14 is: 171,356.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,946 : 550,498.02 = 114,221.14 : x
  2. Step 2: Convert to fraction form
    366,946/550,498.02 = 114,221.14/x
  3. Step 3: Cross multiply
    366,946x = 550,498.02 × 114,221.14
  4. Step 4: Simplify right side
    366,946x = 62,878,511,412.14
  5. Step 5: Solve for x
    x = 62,878,511,412.14/366,946
  6. Step 6: Final answer
    x = 171,356.31

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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.