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Finding the Fourth Proportional to 314,256.96, 471,385.44 and 258,736.32

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Solution

The fourth proportional to 314,256.96, 471,385.44 and 258,736.32 is: 388,104.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,256.96 : 471,385.44 = 258,736.32 : x
  2. Step 2: Convert to fraction form
    314,256.96/471,385.44 = 258,736.32/x
  3. Step 3: Cross multiply
    314,256.96x = 471,385.44 × 258,736.32
  4. Step 4: Simplify right side
    314,256.96x = 121,964,534,047.18
  5. Step 5: Solve for x
    x = 121,964,534,047.18/314,256.96
  6. Step 6: Final answer
    x = 388,104.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.