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Finding the Fourth Proportional to 307,905, 461,870.94 and 97,558.44

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Solution

The fourth proportional to 307,905, 461,870.94 and 97,558.44 is: 146,341.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,905 : 461,870.94 = 97,558.44 : x
  2. Step 2: Convert to fraction form
    307,905/461,870.94 = 97,558.44/x
  3. Step 3: Cross multiply
    307,905x = 461,870.94 × 97,558.44
  4. Step 4: Simplify right side
    307,905x = 45,059,408,387.73
  5. Step 5: Solve for x
    x = 45,059,408,387.73/307,905
  6. Step 6: Final answer
    x = 146,341.92

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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.