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Finding the Fourth Proportional to 299,569.32, 413,408.49 and 170,501.48

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Solution

The fourth proportional to 299,569.32, 413,408.49 and 170,501.48 is: 235,293.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,569.32 : 413,408.49 = 170,501.48 : x
  2. Step 2: Convert to fraction form
    299,569.32/413,408.49 = 170,501.48/x
  3. Step 3: Cross multiply
    299,569.32x = 413,408.49 × 170,501.48
  4. Step 4: Simplify right side
    299,569.32x = 70,486,757,322.52
  5. Step 5: Solve for x
    x = 70,486,757,322.52/299,569.32
  6. Step 6: Final answer
    x = 235,293.65

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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.