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Finding the Fourth Proportional to 401,886.75, 602,649.50 and 289,094.25

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Solution

The fourth proportional to 401,886.75, 602,649.50 and 289,094.25 is: 433,511.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,886.75 : 602,649.50 = 289,094.25 : x
  2. Step 2: Convert to fraction form
    401,886.75/602,649.50 = 289,094.25/x
  3. Step 3: Cross multiply
    401,886.75x = 602,649.50 × 289,094.25
  4. Step 4: Simplify right side
    401,886.75x = 174,222,503,769.90
  5. Step 5: Solve for x
    x = 174,222,503,769.90/401,886.75
  6. Step 6: Final answer
    x = 433,511.44

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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.