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Finding the Fourth Proportional to 314,237.88, 433,647.47 and 170,997.89

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Solution

The fourth proportional to 314,237.88, 433,647.47 and 170,997.89 is: 235,976.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,237.88 : 433,647.47 = 170,997.89 : x
  2. Step 2: Convert to fraction form
    314,237.88/433,647.47 = 170,997.89/x
  3. Step 3: Cross multiply
    314,237.88x = 433,647.47 × 170,997.89
  4. Step 4: Simplify right side
    314,237.88x = 74,152,800,633.10
  5. Step 5: Solve for x
    x = 74,152,800,633.10/314,237.88
  6. Step 6: Final answer
    x = 235,976.64

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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.