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Finding the Fourth Proportional to 1,177,297, 1,766,208.75 and 429,343

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Solution

The fourth proportional to 1,177,297, 1,766,208.75 and 429,343 is: 644,110.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177,297 : 1,766,208.75 = 429,343 : x
  2. Step 2: Convert to fraction form
    1,177,297/1,766,208.75 = 429,343/x
  3. Step 3: Cross multiply
    1,177,297x = 1,766,208.75 × 429,343
  4. Step 4: Simplify right side
    1,177,297x = 758,309,363,351.25
  5. Step 5: Solve for x
    x = 758,309,363,351.25/1,177,297
  6. Step 6: Final answer
    x = 644,110.50

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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.