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Finding the Fourth Proportional to 314,410.86, 433,896.06 and 171,173.34

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Solution

The fourth proportional to 314,410.86, 433,896.06 and 171,173.34 is: 236,224.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,410.86 : 433,896.06 = 171,173.34 : x
  2. Step 2: Convert to fraction form
    314,410.86/433,896.06 = 171,173.34/x
  3. Step 3: Cross multiply
    314,410.86x = 433,896.06 × 171,173.34
  4. Step 4: Simplify right side
    314,410.86x = 74,271,437,803.04
  5. Step 5: Solve for x
    x = 74,271,437,803.04/314,410.86
  6. Step 6: Final answer
    x = 236,224.15

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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.