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Finding the Fourth Proportional to 296,999.10, 416,848.50 and 296,999.10

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Solution

The fourth proportional to 296,999.10, 416,848.50 and 296,999.10 is: 416,848.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,999.10 : 416,848.50 = 296,999.10 : x
  2. Step 2: Convert to fraction form
    296,999.10/416,848.50 = 296,999.10/x
  3. Step 3: Cross multiply
    296,999.10x = 416,848.50 × 296,999.10
  4. Step 4: Simplify right side
    296,999.10x = 123,803,629,336.35
  5. Step 5: Solve for x
    x = 123,803,629,336.35/296,999.10
  6. Step 6: Final answer
    x = 416,848.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.