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Finding the Fourth Proportional to 301,984.10, 452,974.47 and 77,344.10

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Solution

The fourth proportional to 301,984.10, 452,974.47 and 77,344.10 is: 116,015.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,984.10 : 452,974.47 = 77,344.10 : x
  2. Step 2: Convert to fraction form
    301,984.10/452,974.47 = 77,344.10/x
  3. Step 3: Cross multiply
    301,984.10x = 452,974.47 × 77,344.10
  4. Step 4: Simplify right side
    301,984.10x = 35,034,902,705.13
  5. Step 5: Solve for x
    x = 35,034,902,705.13/301,984.10
  6. Step 6: Final answer
    x = 116,015.72

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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.