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Finding the Fourth Proportional to 314,256.52, 433,667.94 and 171,019.72

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Solution

The fourth proportional to 314,256.52, 433,667.94 and 171,019.72 is: 236,003.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,256.52 : 433,667.94 = 171,019.72 : x
  2. Step 2: Convert to fraction form
    314,256.52/433,667.94 = 171,019.72/x
  3. Step 3: Cross multiply
    314,256.52x = 433,667.94 × 171,019.72
  4. Step 4: Simplify right side
    314,256.52x = 74,165,769,671.78
  5. Step 5: Solve for x
    x = 74,165,769,671.78/314,256.52
  6. Step 6: Final answer
    x = 236,003.92

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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.