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Finding the Fourth Proportional to 567,516.42, 783,178.74 and 312,876.72

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Solution

The fourth proportional to 567,516.42, 783,178.74 and 312,876.72 is: 431,773.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,516.42 : 783,178.74 = 312,876.72 : x
  2. Step 2: Convert to fraction form
    567,516.42/783,178.74 = 312,876.72/x
  3. Step 3: Cross multiply
    567,516.42x = 783,178.74 × 312,876.72
  4. Step 4: Simplify right side
    567,516.42x = 245,038,395,344.93
  5. Step 5: Solve for x
    x = 245,038,395,344.93/567,516.42
  6. Step 6: Final answer
    x = 431,773.23

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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.