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Finding the Fourth Proportional to 597,246, 824,199.48 and 328,974

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Solution

The fourth proportional to 597,246, 824,199.48 and 328,974 is: 453,984.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,246 : 824,199.48 = 328,974 : x
  2. Step 2: Convert to fraction form
    597,246/824,199.48 = 328,974/x
  3. Step 3: Cross multiply
    597,246x = 824,199.48 × 328,974
  4. Step 4: Simplify right side
    597,246x = 271,140,199,733.52
  5. Step 5: Solve for x
    x = 271,140,199,733.52/597,246
  6. Step 6: Final answer
    x = 453,984.12

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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.