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Finding the Fourth Proportional to 596,575, 823,275.12 and 328,303

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Solution

The fourth proportional to 596,575, 823,275.12 and 328,303 is: 453,059.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,575 : 823,275.12 = 328,303 : x
  2. Step 2: Convert to fraction form
    596,575/823,275.12 = 328,303/x
  3. Step 3: Cross multiply
    596,575x = 823,275.12 × 328,303
  4. Step 4: Simplify right side
    596,575x = 270,283,691,721.36
  5. Step 5: Solve for x
    x = 270,283,691,721.36/596,575
  6. Step 6: Final answer
    x = 453,059.03

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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.