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Finding the Fourth Proportional to 599,484.48, 899,028 and 200,014.08

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Solution

The fourth proportional to 599,484.48, 899,028 and 200,014.08 is: 299,954.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,484.48 : 899,028 = 200,014.08 : x
  2. Step 2: Convert to fraction form
    599,484.48/899,028 = 200,014.08/x
  3. Step 3: Cross multiply
    599,484.48x = 899,028 × 200,014.08
  4. Step 4: Simplify right side
    599,484.48x = 179,818,258,314.24
  5. Step 5: Solve for x
    x = 179,818,258,314.24/599,484.48
  6. Step 6: Final answer
    x = 299,954.82

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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.