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Finding the Fourth Proportional to 290,564, 400,886.16 and 177,330.08

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Solution

The fourth proportional to 290,564, 400,886.16 and 177,330.08 is: 244,659.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,564 : 400,886.16 = 177,330.08 : x
  2. Step 2: Convert to fraction form
    290,564/400,886.16 = 177,330.08/x
  3. Step 3: Cross multiply
    290,564x = 400,886.16 × 177,330.08
  4. Step 4: Simplify right side
    290,564x = 71,089,174,823.69
  5. Step 5: Solve for x
    x = 71,089,174,823.69/290,564
  6. Step 6: Final answer
    x = 244,659.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.