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Finding the Fourth Proportional to 307,370.66, 461,030.06 and 173,830.82

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Solution

The fourth proportional to 307,370.66, 461,030.06 and 173,830.82 is: 260,731.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,370.66 : 461,030.06 = 173,830.82 : x
  2. Step 2: Convert to fraction form
    307,370.66/461,030.06 = 173,830.82/x
  3. Step 3: Cross multiply
    307,370.66x = 461,030.06 × 173,830.82
  4. Step 4: Simplify right side
    307,370.66x = 80,141,233,374.45
  5. Step 5: Solve for x
    x = 80,141,233,374.45/307,370.66
  6. Step 6: Final answer
    x = 260,731.57

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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.