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Finding the Fourth Proportional to 496,966.07, 745,486.88 and 193,229.74

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Solution

The fourth proportional to 496,966.07, 745,486.88 and 193,229.74 is: 289,859.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,966.07 : 745,486.88 = 193,229.74 : x
  2. Step 2: Convert to fraction form
    496,966.07/745,486.88 = 193,229.74/x
  3. Step 3: Cross multiply
    496,966.07x = 745,486.88 × 193,229.74
  4. Step 4: Simplify right side
    496,966.07x = 144,050,231,768.16
  5. Step 5: Solve for x
    x = 144,050,231,768.16/496,966.07
  6. Step 6: Final answer
    x = 289,859.29

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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.