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Finding the Fourth Proportional to 397,038.06, 595,408.01 and 144,256.14

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Solution

The fourth proportional to 397,038.06, 595,408.01 and 144,256.14 is: 216,330.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,038.06 : 595,408.01 = 144,256.14 : x
  2. Step 2: Convert to fraction form
    397,038.06/595,408.01 = 144,256.14/x
  3. Step 3: Cross multiply
    397,038.06x = 595,408.01 × 144,256.14
  4. Step 4: Simplify right side
    397,038.06x = 85,891,260,526.40
  5. Step 5: Solve for x
    x = 85,891,260,526.40/397,038.06
  6. Step 6: Final answer
    x = 216,330.04

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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.