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Finding the Fourth Proportional to 312,246.30, 468,369.45 and 307,580.70

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Solution

The fourth proportional to 312,246.30, 468,369.45 and 307,580.70 is: 461,371.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,246.30 : 468,369.45 = 307,580.70 : x
  2. Step 2: Convert to fraction form
    312,246.30/468,369.45 = 307,580.70/x
  3. Step 3: Cross multiply
    312,246.30x = 468,369.45 × 307,580.70
  4. Step 4: Simplify right side
    312,246.30x = 144,061,403,289.62
  5. Step 5: Solve for x
    x = 144,061,403,289.62/312,246.30
  6. Step 6: Final answer
    x = 461,371.05

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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.