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Finding the Fourth Proportional to 270,526.44, 405,457.32 and 151,948.50

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Solution

The fourth proportional to 270,526.44, 405,457.32 and 151,948.50 is: 227,736.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,526.44 : 405,457.32 = 151,948.50 : x
  2. Step 2: Convert to fraction form
    270,526.44/405,457.32 = 151,948.50/x
  3. Step 3: Cross multiply
    270,526.44x = 405,457.32 × 151,948.50
  4. Step 4: Simplify right side
    270,526.44x = 61,608,631,588.02
  5. Step 5: Solve for x
    x = 61,608,631,588.02/270,526.44
  6. Step 6: Final answer
    x = 227,736.08

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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.