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Finding the Fourth Proportional to 314,805.71, 434,447.29 and 177,028.01

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Solution

The fourth proportional to 314,805.71, 434,447.29 and 177,028.01 is: 244,307.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,805.71 : 434,447.29 = 177,028.01 : x
  2. Step 2: Convert to fraction form
    314,805.71/434,447.29 = 177,028.01/x
  3. Step 3: Cross multiply
    314,805.71x = 434,447.29 × 177,028.01
  4. Step 4: Simplify right side
    314,805.71x = 76,909,336,583.79
  5. Step 5: Solve for x
    x = 76,909,336,583.79/314,805.71
  6. Step 6: Final answer
    x = 244,307.31

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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.