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Finding the Fourth Proportional to 314,309.89, 433,747.67 and 171,070.98

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Solution

The fourth proportional to 314,309.89, 433,747.67 and 171,070.98 is: 236,077.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,309.89 : 433,747.67 = 171,070.98 : x
  2. Step 2: Convert to fraction form
    314,309.89/433,747.67 = 171,070.98/x
  3. Step 3: Cross multiply
    314,309.89x = 433,747.67 × 171,070.98
  4. Step 4: Simplify right side
    314,309.89x = 74,201,638,979.62
  5. Step 5: Solve for x
    x = 74,201,638,979.62/314,309.89
  6. Step 6: Final answer
    x = 236,077.96

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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.