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Finding the Fourth Proportional to 523,661.17, 785,553.27 and 186,749.72

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Solution

The fourth proportional to 523,661.17, 785,553.27 and 186,749.72 is: 280,146.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,661.17 : 785,553.27 = 186,749.72 : x
  2. Step 2: Convert to fraction form
    523,661.17/785,553.27 = 186,749.72/x
  3. Step 3: Cross multiply
    523,661.17x = 785,553.27 × 186,749.72
  4. Step 4: Simplify right side
    523,661.17x = 146,701,850,587.65
  5. Step 5: Solve for x
    x = 146,701,850,587.65/523,661.17
  6. Step 6: Final answer
    x = 280,146.51

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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.