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Finding the Fourth Proportional to 301,344.30, 452,271.60 and 123,978.60

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Solution

The fourth proportional to 301,344.30, 452,271.60 and 123,978.60 is: 186,072.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,344.30 : 452,271.60 = 123,978.60 : x
  2. Step 2: Convert to fraction form
    301,344.30/452,271.60 = 123,978.60/x
  3. Step 3: Cross multiply
    301,344.30x = 452,271.60 × 123,978.60
  4. Step 4: Simplify right side
    301,344.30x = 56,071,999,787.76
  5. Step 5: Solve for x
    x = 56,071,999,787.76/301,344.30
  6. Step 6: Final answer
    x = 186,072.87

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1.5x scale

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.