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Finding the Fourth Proportional to 488,535.84, 732,988.32 and 189,034.44

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Solution

The fourth proportional to 488,535.84, 732,988.32 and 189,034.44 is: 283,623.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,535.84 : 732,988.32 = 189,034.44 : x
  2. Step 2: Convert to fraction form
    488,535.84/732,988.32 = 189,034.44/x
  3. Step 3: Cross multiply
    488,535.84x = 732,988.32 × 189,034.44
  4. Step 4: Simplify right side
    488,535.84x = 138,560,036,597.74
  5. Step 5: Solve for x
    x = 138,560,036,597.74/488,535.84
  6. Step 6: Final answer
    x = 283,623.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.