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Finding the Fourth Proportional to 535,257, 738,654.66 and 296,793

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Solution

The fourth proportional to 535,257, 738,654.66 and 296,793 is: 409,574.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,257 : 738,654.66 = 296,793 : x
  2. Step 2: Convert to fraction form
    535,257/738,654.66 = 296,793/x
  3. Step 3: Cross multiply
    535,257x = 738,654.66 × 296,793
  4. Step 4: Simplify right side
    535,257x = 219,227,532,505.38
  5. Step 5: Solve for x
    x = 219,227,532,505.38/535,257
  6. Step 6: Final answer
    x = 409,574.34

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1.5x scale

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.