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Finding the Fourth Proportional to 682,944.40, 942,023.40 and 414,672.40

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Solution

The fourth proportional to 682,944.40, 942,023.40 and 414,672.40 is: 571,980.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,944.40 : 942,023.40 = 414,672.40 : x
  2. Step 2: Convert to fraction form
    682,944.40/942,023.40 = 414,672.40/x
  3. Step 3: Cross multiply
    682,944.40x = 942,023.40 × 414,672.40
  4. Step 4: Simplify right side
    682,944.40x = 390,631,104,134.16
  5. Step 5: Solve for x
    x = 390,631,104,134.16/682,944.40
  6. Step 6: Final answer
    x = 571,980.83

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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.