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Finding the Fourth Proportional to 596,953.84, 823,854.42 and 445,788.40

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Solution

The fourth proportional to 596,953.84, 823,854.42 and 445,788.40 is: 615,231.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,953.84 : 823,854.42 = 445,788.40 : x
  2. Step 2: Convert to fraction form
    596,953.84/823,854.42 = 445,788.40/x
  3. Step 3: Cross multiply
    596,953.84x = 823,854.42 × 445,788.40
  4. Step 4: Simplify right side
    596,953.84x = 367,264,743,724.73
  5. Step 5: Solve for x
    x = 367,264,743,724.73/596,953.84
  6. Step 6: Final answer
    x = 615,231.39

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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.