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Finding the Fourth Proportional to 298,235.50, 411,564.99 and 164,099.50

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Solution

The fourth proportional to 298,235.50, 411,564.99 and 164,099.50 is: 226,457.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,235.50 : 411,564.99 = 164,099.50 : x
  2. Step 2: Convert to fraction form
    298,235.50/411,564.99 = 164,099.50/x
  3. Step 3: Cross multiply
    298,235.50x = 411,564.99 × 164,099.50
  4. Step 4: Simplify right side
    298,235.50x = 67,537,609,076.51
  5. Step 5: Solve for x
    x = 67,537,609,076.51/298,235.50
  6. Step 6: Final answer
    x = 226,457.31

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1.5x scale

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.