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Finding the Fourth Proportional to 384,008.71, 576,512.04 and 295,325.05

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Solution

The fourth proportional to 384,008.71, 576,512.04 and 295,325.05 is: 443,371.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,008.71 : 576,512.04 = 295,325.05 : x
  2. Step 2: Convert to fraction form
    384,008.71/576,512.04 = 295,325.05/x
  3. Step 3: Cross multiply
    384,008.71x = 576,512.04 × 295,325.05
  4. Step 4: Simplify right side
    384,008.71x = 170,258,447,038.60
  5. Step 5: Solve for x
    x = 170,258,447,038.60/384,008.71
  6. Step 6: Final answer
    x = 443,371.32

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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.