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Finding the Fourth Proportional to 445,851.90, 668,965.46 and 277,513.06

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Solution

The fourth proportional to 445,851.90, 668,965.46 and 277,513.06 is: 416,386.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,851.90 : 668,965.46 = 277,513.06 : x
  2. Step 2: Convert to fraction form
    445,851.90/668,965.46 = 277,513.06/x
  3. Step 3: Cross multiply
    445,851.90x = 668,965.46 × 277,513.06
  4. Step 4: Simplify right side
    445,851.90x = 185,646,651,838.91
  5. Step 5: Solve for x
    x = 185,646,651,838.91/445,851.90
  6. Step 6: Final answer
    x = 416,386.36

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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.