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Finding the Fourth Proportional to 653,735.34, 902,133.84 and 363,345.48

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Solution

The fourth proportional to 653,735.34, 902,133.84 and 363,345.48 is: 501,405.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,735.34 : 902,133.84 = 363,345.48 : x
  2. Step 2: Convert to fraction form
    653,735.34/902,133.84 = 363,345.48/x
  3. Step 3: Cross multiply
    653,735.34x = 902,133.84 × 363,345.48
  4. Step 4: Simplify right side
    653,735.34x = 327,786,253,119.04
  5. Step 5: Solve for x
    x = 327,786,253,119.04/653,735.34
  6. Step 6: Final answer
    x = 501,405.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.