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Finding the Fourth Proportional to 314,495.24, 434,003.46 and 171,255.24

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Solution

The fourth proportional to 314,495.24, 434,003.46 and 171,255.24 is: 236,332.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,495.24 : 434,003.46 = 171,255.24 : x
  2. Step 2: Convert to fraction form
    314,495.24/434,003.46 = 171,255.24/x
  3. Step 3: Cross multiply
    314,495.24x = 434,003.46 × 171,255.24
  4. Step 4: Simplify right side
    314,495.24x = 74,325,366,703.13
  5. Step 5: Solve for x
    x = 74,325,366,703.13/314,495.24
  6. Step 6: Final answer
    x = 236,332.25

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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.