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Finding the Fourth Proportional to 307,293.50, 460,987.74 and 104,842.20

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Solution

The fourth proportional to 307,293.50, 460,987.74 and 104,842.20 is: 157,279.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,293.50 : 460,987.74 = 104,842.20 : x
  2. Step 2: Convert to fraction form
    307,293.50/460,987.74 = 104,842.20/x
  3. Step 3: Cross multiply
    307,293.50x = 460,987.74 × 104,842.20
  4. Step 4: Simplify right side
    307,293.50x = 48,330,968,834.63
  5. Step 5: Solve for x
    x = 48,330,968,834.63/307,293.50
  6. Step 6: Final answer
    x = 157,279.50

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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.