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Finding the Fourth Proportional to 314,240.96, 433,661.65 and 171,010.24

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Solution

The fourth proportional to 314,240.96, 433,661.65 and 171,010.24 is: 235,999.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,240.96 : 433,661.65 = 171,010.24 : x
  2. Step 2: Convert to fraction form
    314,240.96/433,661.65 = 171,010.24/x
  3. Step 3: Cross multiply
    314,240.96x = 433,661.65 × 171,010.24
  4. Step 4: Simplify right side
    314,240.96x = 74,160,582,845.30
  5. Step 5: Solve for x
    x = 74,160,582,845.30/314,240.96
  6. Step 6: Final answer
    x = 235,999.10

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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.