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Finding the Fourth Proportional to 397,032.95, 595,214.58 and 172,224.20

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Solution

The fourth proportional to 397,032.95, 595,214.58 and 172,224.20 is: 258,191.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,032.95 : 595,214.58 = 172,224.20 : x
  2. Step 2: Convert to fraction form
    397,032.95/595,214.58 = 172,224.20/x
  3. Step 3: Cross multiply
    397,032.95x = 595,214.58 × 172,224.20
  4. Step 4: Simplify right side
    397,032.95x = 102,510,354,868.84
  5. Step 5: Solve for x
    x = 102,510,354,868.84/397,032.95
  6. Step 6: Final answer
    x = 258,191.05

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1.5x scale

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.