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Finding the Fourth Proportional to 599,762.32, 899,629.14 and 194,954.02

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Solution

The fourth proportional to 599,762.32, 899,629.14 and 194,954.02 is: 292,426.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,762.32 : 899,629.14 = 194,954.02 : x
  2. Step 2: Convert to fraction form
    599,762.32/899,629.14 = 194,954.02/x
  3. Step 3: Cross multiply
    599,762.32x = 899,629.14 × 194,954.02
  4. Step 4: Simplify right side
    599,762.32x = 175,386,317,352.14
  5. Step 5: Solve for x
    x = 175,386,317,352.14/599,762.32
  6. Step 6: Final answer
    x = 292,426.37

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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.