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Finding the Fourth Proportional to 580,257, 800,757.54 and 338,707.08

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Solution

The fourth proportional to 580,257, 800,757.54 and 338,707.08 is: 467,417.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,257 : 800,757.54 = 338,707.08 : x
  2. Step 2: Convert to fraction form
    580,257/800,757.54 = 338,707.08/x
  3. Step 3: Cross multiply
    580,257x = 800,757.54 × 338,707.08
  4. Step 4: Simplify right side
    580,257x = 271,222,248,161.38
  5. Step 5: Solve for x
    x = 271,222,248,161.38/580,257
  6. Step 6: Final answer
    x = 467,417.45

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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.