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Finding the Fourth Proportional to 509,081.96, 702,492.14 and 294,235.94

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Solution

The fourth proportional to 509,081.96, 702,492.14 and 294,235.94 is: 406,021.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,081.96 : 702,492.14 = 294,235.94 : x
  2. Step 2: Convert to fraction form
    509,081.96/702,492.14 = 294,235.94/x
  3. Step 3: Cross multiply
    509,081.96x = 702,492.14 × 294,235.94
  4. Step 4: Simplify right side
    509,081.96x = 206,698,433,684.33
  5. Step 5: Solve for x
    x = 206,698,433,684.33/509,081.96
  6. Step 6: Final answer
    x = 406,021.92

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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.