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Finding the Fourth Proportional to 301,907.15, 452,915.40 and 151,769.60

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Solution

The fourth proportional to 301,907.15, 452,915.40 and 151,769.60 is: 227,681.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,907.15 : 452,915.40 = 151,769.60 : x
  2. Step 2: Convert to fraction form
    301,907.15/452,915.40 = 151,769.60/x
  3. Step 3: Cross multiply
    301,907.15x = 452,915.40 × 151,769.60
  4. Step 4: Simplify right side
    301,907.15x = 68,738,789,091.84
  5. Step 5: Solve for x
    x = 68,738,789,091.84/301,907.15
  6. Step 6: Final answer
    x = 227,681.89

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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.