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Finding the Fourth Proportional to 407,111.52, 561,814.38 and 237,378.45

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Solution

The fourth proportional to 407,111.52, 561,814.38 and 237,378.45 is: 327,582.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,111.52 : 561,814.38 = 237,378.45 : x
  2. Step 2: Convert to fraction form
    407,111.52/561,814.38 = 237,378.45/x
  3. Step 3: Cross multiply
    407,111.52x = 561,814.38 × 237,378.45
  4. Step 4: Simplify right side
    407,111.52x = 133,362,626,712.11
  5. Step 5: Solve for x
    x = 133,362,626,712.11/407,111.52
  6. Step 6: Final answer
    x = 327,582.54

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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.