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Finding the Fourth Proportional to 557,633.16, 769,522.68 and 302,986.17

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Solution

The fourth proportional to 557,633.16, 769,522.68 and 302,986.17 is: 418,114.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,633.16 : 769,522.68 = 302,986.17 : x
  2. Step 2: Convert to fraction form
    557,633.16/769,522.68 = 302,986.17/x
  3. Step 3: Cross multiply
    557,633.16x = 769,522.68 × 302,986.17
  4. Step 4: Simplify right side
    557,633.16x = 233,154,729,541.34
  5. Step 5: Solve for x
    x = 233,154,729,541.34/557,633.16
  6. Step 6: Final answer
    x = 418,114.89

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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.