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Finding the Fourth Proportional to 902,054, 1,353,160.92 and 237,206

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Solution

The fourth proportional to 902,054, 1,353,160.92 and 237,206 is: 355,830.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,054 : 1,353,160.92 = 237,206 : x
  2. Step 2: Convert to fraction form
    902,054/1,353,160.92 = 237,206/x
  3. Step 3: Cross multiply
    902,054x = 1,353,160.92 × 237,206
  4. Step 4: Simplify right side
    902,054x = 320,977,889,189.52
  5. Step 5: Solve for x
    x = 320,977,889,189.52/902,054
  6. Step 6: Final answer
    x = 355,830.02

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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.