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Finding the Fourth Proportional to 596,570.78, 823,267.80 and 328,298.78

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Solution

The fourth proportional to 596,570.78, 823,267.80 and 328,298.78 is: 453,052.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,570.78 : 823,267.80 = 328,298.78 : x
  2. Step 2: Convert to fraction form
    596,570.78/823,267.80 = 328,298.78/x
  3. Step 3: Cross multiply
    596,570.78x = 823,267.80 × 328,298.78
  4. Step 4: Simplify right side
    596,570.78x = 270,277,814,353.28
  5. Step 5: Solve for x
    x = 270,277,814,353.28/596,570.78
  6. Step 6: Final answer
    x = 453,052.38

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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.