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Finding the Fourth Proportional to 654,296.34, 902,932.74 and 367,813.92

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Solution

The fourth proportional to 654,296.34, 902,932.74 and 367,813.92 is: 507,585.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,296.34 : 902,932.74 = 367,813.92 : x
  2. Step 2: Convert to fraction form
    654,296.34/902,932.74 = 367,813.92/x
  3. Step 3: Cross multiply
    654,296.34x = 902,932.74 × 367,813.92
  4. Step 4: Simplify right side
    654,296.34x = 332,111,230,595.74
  5. Step 5: Solve for x
    x = 332,111,230,595.74/654,296.34
  6. Step 6: Final answer
    x = 507,585.34

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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.