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Finding the Fourth Proportional to 509,154.29, 702,474.41 and 294,215.93

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Solution

The fourth proportional to 509,154.29, 702,474.41 and 294,215.93 is: 405,926.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,154.29 : 702,474.41 = 294,215.93 : x
  2. Step 2: Convert to fraction form
    509,154.29/702,474.41 = 294,215.93/x
  3. Step 3: Cross multiply
    509,154.29x = 702,474.41 × 294,215.93
  4. Step 4: Simplify right side
    509,154.29x = 206,679,160,368.27
  5. Step 5: Solve for x
    x = 206,679,160,368.27/509,154.29
  6. Step 6: Final answer
    x = 405,926.39

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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.