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Finding the Fourth Proportional to 509,298.41, 702,790.66 and 294,452.31

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Solution

The fourth proportional to 509,298.41, 702,790.66 and 294,452.31 is: 406,320.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,298.41 : 702,790.66 = 294,452.31 : x
  2. Step 2: Convert to fraction form
    509,298.41/702,790.66 = 294,452.31/x
  3. Step 3: Cross multiply
    509,298.41x = 702,790.66 × 294,452.31
  4. Step 4: Simplify right side
    509,298.41x = 206,938,333,283.43
  5. Step 5: Solve for x
    x = 206,938,333,283.43/509,298.41
  6. Step 6: Final answer
    x = 406,320.40

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