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Finding the Fourth Proportional to 314,235.96, 433,654.74 and 171,005.24

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Solution

The fourth proportional to 314,235.96, 433,654.74 and 171,005.24 is: 235,992.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,235.96 : 433,654.74 = 171,005.24 : x
  2. Step 2: Convert to fraction form
    314,235.96/433,654.74 = 171,005.24/x
  3. Step 3: Cross multiply
    314,235.96x = 433,654.74 × 171,005.24
  4. Step 4: Simplify right side
    314,235.96x = 74,157,232,890.84
  5. Step 5: Solve for x
    x = 74,157,232,890.84/314,235.96
  6. Step 6: Final answer
    x = 235,992.19

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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.