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Finding the Fourth Proportional to 307,527.60, 461,072.70 and 117,914.70

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Solution

The fourth proportional to 307,527.60, 461,072.70 and 117,914.70 is: 176,788.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,527.60 : 461,072.70 = 117,914.70 : x
  2. Step 2: Convert to fraction form
    307,527.60/461,072.70 = 117,914.70/x
  3. Step 3: Cross multiply
    307,527.60x = 461,072.70 × 117,914.70
  4. Step 4: Simplify right side
    307,527.60x = 54,367,249,098.69
  5. Step 5: Solve for x
    x = 54,367,249,098.69/307,527.60
  6. Step 6: Final answer
    x = 176,788.19

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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.