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Finding the Fourth Proportional to 286,880.07, 430,309.08 and 76,516.17

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Solution

The fourth proportional to 286,880.07, 430,309.08 and 76,516.17 is: 114,771.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,880.07 : 430,309.08 = 76,516.17 : x
  2. Step 2: Convert to fraction form
    286,880.07/430,309.08 = 76,516.17/x
  3. Step 3: Cross multiply
    286,880.07x = 430,309.08 × 76,516.17
  4. Step 4: Simplify right side
    286,880.07x = 32,925,602,717.82
  5. Step 5: Solve for x
    x = 32,925,602,717.82/286,880.07
  6. Step 6: Final answer
    x = 114,771.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.