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Finding the Fourth Proportional to 289,888.20, 434,629.80 and 171,498.60

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Solution

The fourth proportional to 289,888.20, 434,629.80 and 171,498.60 is: 257,128.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,888.20 : 434,629.80 = 171,498.60 : x
  2. Step 2: Convert to fraction form
    289,888.20/434,629.80 = 171,498.60/x
  3. Step 3: Cross multiply
    289,888.20x = 434,629.80 × 171,498.60
  4. Step 4: Simplify right side
    289,888.20x = 74,538,402,218.28
  5. Step 5: Solve for x
    x = 74,538,402,218.28/289,888.20
  6. Step 6: Final answer
    x = 257,128.10

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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.