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Finding the Fourth Proportional to 473,613.48, 653,589 and 258,757.34

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Solution

The fourth proportional to 473,613.48, 653,589 and 258,757.34 is: 357,086.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,613.48 : 653,589 = 258,757.34 : x
  2. Step 2: Convert to fraction form
    473,613.48/653,589 = 258,757.34/x
  3. Step 3: Cross multiply
    473,613.48x = 653,589 × 258,757.34
  4. Step 4: Simplify right side
    473,613.48x = 169,120,947,825.32
  5. Step 5: Solve for x
    x = 169,120,947,825.32/473,613.48
  6. Step 6: Final answer
    x = 357,086.43

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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.