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Finding the Fourth Proportional to 596,636.40, 823,358.16 and 328,364.40

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Solution

The fourth proportional to 596,636.40, 823,358.16 and 328,364.40 is: 453,142.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,636.40 : 823,358.16 = 328,364.40 : x
  2. Step 2: Convert to fraction form
    596,636.40/823,358.16 = 328,364.40/x
  3. Step 3: Cross multiply
    596,636.40x = 823,358.16 × 328,364.40
  4. Step 4: Simplify right side
    596,636.40x = 270,361,508,193.50
  5. Step 5: Solve for x
    x = 270,361,508,193.50/596,636.40
  6. Step 6: Final answer
    x = 453,142.83

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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.