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Finding the Fourth Proportional to 596,604.36, 823,314 and 328,332.36

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Solution

The fourth proportional to 596,604.36, 823,314 and 328,332.36 is: 453,098.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,604.36 : 823,314 = 328,332.36 : x
  2. Step 2: Convert to fraction form
    596,604.36/823,314 = 328,332.36/x
  3. Step 3: Cross multiply
    596,604.36x = 823,314 × 328,332.36
  4. Step 4: Simplify right side
    596,604.36x = 270,320,628,641.04
  5. Step 5: Solve for x
    x = 270,320,628,641.04/596,604.36
  6. Step 6: Final answer
    x = 453,098.65

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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.