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Finding the Fourth Proportional to 509,298.15, 702,790.32 and 294,452.06

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Solution

The fourth proportional to 509,298.15, 702,790.32 and 294,452.06 is: 406,320.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,298.15 : 702,790.32 = 294,452.06 : x
  2. Step 2: Convert to fraction form
    509,298.15/702,790.32 = 294,452.06/x
  3. Step 3: Cross multiply
    509,298.15x = 702,790.32 × 294,452.06
  4. Step 4: Simplify right side
    509,298.15x = 206,938,055,489.38
  5. Step 5: Solve for x
    x = 206,938,055,489.38/509,298.15
  6. Step 6: Final answer
    x = 406,320.06

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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.