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Finding the Fourth Proportional to 557,904.78, 769,904.64 and 316,185.30

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Solution

The fourth proportional to 557,904.78, 769,904.64 and 316,185.30 is: 436,333.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,904.78 : 769,904.64 = 316,185.30 : x
  2. Step 2: Convert to fraction form
    557,904.78/769,904.64 = 316,185.30/x
  3. Step 3: Cross multiply
    557,904.78x = 769,904.64 × 316,185.30
  4. Step 4: Simplify right side
    557,904.78x = 243,432,529,569.79
  5. Step 5: Solve for x
    x = 243,432,529,569.79/557,904.78
  6. Step 6: Final answer
    x = 436,333.47

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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.