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Finding the Fourth Proportional to 471,968.36, 651,308.80 and 257,111

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Solution

The fourth proportional to 471,968.36, 651,308.80 and 257,111 is: 354,809.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,968.36 : 651,308.80 = 257,111 : x
  2. Step 2: Convert to fraction form
    471,968.36/651,308.80 = 257,111/x
  3. Step 3: Cross multiply
    471,968.36x = 651,308.80 × 257,111
  4. Step 4: Simplify right side
    471,968.36x = 167,458,656,876.80
  5. Step 5: Solve for x
    x = 167,458,656,876.80/471,968.36
  6. Step 6: Final answer
    x = 354,809.07

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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.