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Finding the Fourth Proportional to 496,858.95, 745,300.58 and 181,315.76

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Solution

The fourth proportional to 496,858.95, 745,300.58 and 181,315.76 is: 271,978.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,858.95 : 745,300.58 = 181,315.76 : x
  2. Step 2: Convert to fraction form
    496,858.95/745,300.58 = 181,315.76/x
  3. Step 3: Cross multiply
    496,858.95x = 745,300.58 × 181,315.76
  4. Step 4: Simplify right side
    496,858.95x = 135,134,736,458.06
  5. Step 5: Solve for x
    x = 135,134,736,458.06/496,858.95
  6. Step 6: Final answer
    x = 271,978.07

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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.