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Finding the Fourth Proportional to 569,069.64, 853,354.26 and 302,766.75

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Solution

The fourth proportional to 569,069.64, 853,354.26 and 302,766.75 is: 454,017.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,069.64 : 853,354.26 = 302,766.75 : x
  2. Step 2: Convert to fraction form
    569,069.64/853,354.26 = 302,766.75/x
  3. Step 3: Cross multiply
    569,069.64x = 853,354.26 × 302,766.75
  4. Step 4: Simplify right side
    569,069.64x = 258,367,295,898.86
  5. Step 5: Solve for x
    x = 258,367,295,898.86/569,069.64
  6. Step 6: Final answer
    x = 454,017.01

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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.