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Finding the Fourth Proportional to 523,516.77, 785,362.64 and 186,751.58

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Solution

The fourth proportional to 523,516.77, 785,362.64 and 186,751.58 is: 280,158.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,516.77 : 785,362.64 = 186,751.58 : x
  2. Step 2: Convert to fraction form
    523,516.77/785,362.64 = 186,751.58/x
  3. Step 3: Cross multiply
    523,516.77x = 785,362.64 × 186,751.58
  4. Step 4: Simplify right side
    523,516.77x = 146,667,709,032.40
  5. Step 5: Solve for x
    x = 146,667,709,032.40/523,516.77
  6. Step 6: Final answer
    x = 280,158.57

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Why These Related Problems?

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