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Finding the Fourth Proportional to 307,973, 461,959.50 and 74,501

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Solution

The fourth proportional to 307,973, 461,959.50 and 74,501 is: 111,751.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,973 : 461,959.50 = 74,501 : x
  2. Step 2: Convert to fraction form
    307,973/461,959.50 = 74,501/x
  3. Step 3: Cross multiply
    307,973x = 461,959.50 × 74,501
  4. Step 4: Simplify right side
    307,973x = 34,416,444,709.50
  5. Step 5: Solve for x
    x = 34,416,444,709.50/307,973
  6. Step 6: Final answer
    x = 111,751.50

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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.