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Finding the Fourth Proportional to 298,454,295.78, 411,867,782.37 and 173,030,876.10

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Solution

The fourth proportional to 298,454,295.78, 411,867,782.37 and 173,030,876.10 is: 238,783,104.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,454,295.78 : 411,867,782.37 = 173,030,876.10 : x
  2. Step 2: Convert to fraction form
    298,454,295.78/411,867,782.37 = 173,030,876.10/x
  3. Step 3: Cross multiply
    298,454,295.78x = 411,867,782.37 × 173,030,876.10
  4. Step 4: Simplify right side
    298,454,295.78x = 71,265,843,220,845,232
  5. Step 5: Solve for x
    x = 71,265,843,220,845,232/298,454,295.78
  6. Step 6: Final answer
    x = 238,783,104.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.