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Finding the Fourth Proportional to 312,006.30, 468,009.45 and 307,340.70

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Solution

The fourth proportional to 312,006.30, 468,009.45 and 307,340.70 is: 461,011.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,006.30 : 468,009.45 = 307,340.70 : x
  2. Step 2: Convert to fraction form
    312,006.30/468,009.45 = 307,340.70/x
  3. Step 3: Cross multiply
    312,006.30x = 468,009.45 × 307,340.70
  4. Step 4: Simplify right side
    312,006.30x = 143,838,351,969.62
  5. Step 5: Solve for x
    x = 143,838,351,969.62/312,006.30
  6. Step 6: Final answer
    x = 461,011.05

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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.