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Finding the Fourth Proportional to 359,907.54, 496,672.45 and 200,931.54

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Solution

The fourth proportional to 359,907.54, 496,672.45 and 200,931.54 is: 277,285.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,907.54 : 496,672.45 = 200,931.54 : x
  2. Step 2: Convert to fraction form
    359,907.54/496,672.45 = 200,931.54/x
  3. Step 3: Cross multiply
    359,907.54x = 496,672.45 × 200,931.54
  4. Step 4: Simplify right side
    359,907.54x = 99,797,160,254.07
  5. Step 5: Solve for x
    x = 99,797,160,254.07/359,907.54
  6. Step 6: Final answer
    x = 277,285.55

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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.