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Finding the Fourth Proportional to 382,948.80, 574,682.40 and 172,478.40

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Solution

The fourth proportional to 382,948.80, 574,682.40 and 172,478.40 is: 258,834.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,948.80 : 574,682.40 = 172,478.40 : x
  2. Step 2: Convert to fraction form
    382,948.80/574,682.40 = 172,478.40/x
  3. Step 3: Cross multiply
    382,948.80x = 574,682.40 × 172,478.40
  4. Step 4: Simplify right side
    382,948.80x = 99,120,300,860.16
  5. Step 5: Solve for x
    x = 99,120,300,860.16/382,948.80
  6. Step 6: Final answer
    x = 258,834.34

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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.