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Finding the Fourth Proportional to 471,557.91, 650,749.98 and 256,699.59

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Solution

The fourth proportional to 471,557.91, 650,749.98 and 256,699.59 is: 354,245.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,557.91 : 650,749.98 = 256,699.59 : x
  2. Step 2: Convert to fraction form
    471,557.91/650,749.98 = 256,699.59/x
  3. Step 3: Cross multiply
    471,557.91x = 650,749.98 × 256,699.59
  4. Step 4: Simplify right side
    471,557.91x = 167,047,253,058.51
  5. Step 5: Solve for x
    x = 167,047,253,058.51/471,557.91
  6. Step 6: Final answer
    x = 354,245.47

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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.