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Finding the Fourth Proportional to 686,023.36, 946,746 and 414,086.92

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Solution

The fourth proportional to 686,023.36, 946,746 and 414,086.92 is: 571,460.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,023.36 : 946,746 = 414,086.92 : x
  2. Step 2: Convert to fraction form
    686,023.36/946,746 = 414,086.92/x
  3. Step 3: Cross multiply
    686,023.36x = 946,746 × 414,086.92
  4. Step 4: Simplify right side
    686,023.36x = 392,035,135,162.32
  5. Step 5: Solve for x
    x = 392,035,135,162.32/686,023.36
  6. Step 6: Final answer
    x = 571,460.33

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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.