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Finding the Fourth Proportional to 307,291.46, 461,079.81 and 117,688.95

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Solution

The fourth proportional to 307,291.46, 461,079.81 and 117,688.95 is: 176,588.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,291.46 : 461,079.81 = 117,688.95 : x
  2. Step 2: Convert to fraction form
    307,291.46/461,079.81 = 117,688.95/x
  3. Step 3: Cross multiply
    307,291.46x = 461,079.81 × 117,688.95
  4. Step 4: Simplify right side
    307,291.46x = 54,263,998,705.10
  5. Step 5: Solve for x
    x = 54,263,998,705.10/307,291.46
  6. Step 6: Final answer
    x = 176,588.05

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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.