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Finding the Fourth Proportional to 535,267, 738,668.46 and 296,803

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Solution

The fourth proportional to 535,267, 738,668.46 and 296,803 is: 409,588.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,267 : 738,668.46 = 296,803 : x
  2. Step 2: Convert to fraction form
    535,267/738,668.46 = 296,803/x
  3. Step 3: Cross multiply
    535,267x = 738,668.46 × 296,803
  4. Step 4: Simplify right side
    535,267x = 219,239,014,933.38
  5. Step 5: Solve for x
    x = 219,239,014,933.38/535,267
  6. Step 6: Final answer
    x = 409,588.14

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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.