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Finding the Fourth Proportional to 314,262.99, 433,684.26 and 171,022.86

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Solution

The fourth proportional to 314,262.99, 433,684.26 and 171,022.86 is: 236,012.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,262.99 : 433,684.26 = 171,022.86 : x
  2. Step 2: Convert to fraction form
    314,262.99/433,684.26 = 171,022.86/x
  3. Step 3: Cross multiply
    314,262.99x = 433,684.26 × 171,022.86
  4. Step 4: Simplify right side
    314,262.99x = 74,169,922,482.18
  5. Step 5: Solve for x
    x = 74,169,922,482.18/314,262.99
  6. Step 6: Final answer
    x = 236,012.27

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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.