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Finding the Fourth Proportional to 686,411.87, 946,686.83 and 483,135.71

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Solution

The fourth proportional to 686,411.87, 946,686.83 and 483,135.71 is: 666,332.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,411.87 : 946,686.83 = 483,135.71 : x
  2. Step 2: Convert to fraction form
    686,411.87/946,686.83 = 483,135.71/x
  3. Step 3: Cross multiply
    686,411.87x = 946,686.83 × 483,135.71
  4. Step 4: Simplify right side
    686,411.87x = 457,378,206,610.59
  5. Step 5: Solve for x
    x = 457,378,206,610.59/686,411.87
  6. Step 6: Final answer
    x = 666,332.02

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Double scale
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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.