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Finding the Fourth Proportional to 535,266, 738,667.08 and 296,802

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Solution

The fourth proportional to 535,266, 738,667.08 and 296,802 is: 409,586.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,266 : 738,667.08 = 296,802 : x
  2. Step 2: Convert to fraction form
    535,266/738,667.08 = 296,802/x
  3. Step 3: Cross multiply
    535,266x = 738,667.08 × 296,802
  4. Step 4: Simplify right side
    535,266x = 219,237,866,678.16
  5. Step 5: Solve for x
    x = 219,237,866,678.16/535,266
  6. Step 6: Final answer
    x = 409,586.76

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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.