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Finding the Fourth Proportional to 596,511, 823,185.18 and 328,239

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Solution

The fourth proportional to 596,511, 823,185.18 and 328,239 is: 452,969.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,511 : 823,185.18 = 328,239 : x
  2. Step 2: Convert to fraction form
    596,511/823,185.18 = 328,239/x
  3. Step 3: Cross multiply
    596,511x = 823,185.18 × 328,239
  4. Step 4: Simplify right side
    596,511x = 270,201,480,298.02
  5. Step 5: Solve for x
    x = 270,201,480,298.02/596,511
  6. Step 6: Final answer
    x = 452,969.82

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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.