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Finding the Fourth Proportional to 297,415.04, 446,192.76 and 97,736

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Solution

The fourth proportional to 297,415.04, 446,192.76 and 97,736 is: 146,627.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,415.04 : 446,192.76 = 97,736 : x
  2. Step 2: Convert to fraction form
    297,415.04/446,192.76 = 97,736/x
  3. Step 3: Cross multiply
    297,415.04x = 446,192.76 × 97,736
  4. Step 4: Simplify right side
    297,415.04x = 43,609,095,591.36
  5. Step 5: Solve for x
    x = 43,609,095,591.36/297,415.04
  6. Step 6: Final answer
    x = 146,627.07

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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.