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Finding the Fourth Proportional to 429,770.18, 592,466.82 and 302,049.38

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Solution

The fourth proportional to 429,770.18, 592,466.82 and 302,049.38 is: 416,395.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,770.18 : 592,466.82 = 302,049.38 : x
  2. Step 2: Convert to fraction form
    429,770.18/592,466.82 = 302,049.38/x
  3. Step 3: Cross multiply
    429,770.18x = 592,466.82 × 302,049.38
  4. Step 4: Simplify right side
    429,770.18x = 178,954,235,651.57
  5. Step 5: Solve for x
    x = 178,954,235,651.57/429,770.18
  6. Step 6: Final answer
    x = 416,395.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.