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Finding the Fourth Proportional to 312,497.56, 468,804.66 and 102,283.12

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Solution

The fourth proportional to 312,497.56, 468,804.66 and 102,283.12 is: 153,443.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,497.56 : 468,804.66 = 102,283.12 : x
  2. Step 2: Convert to fraction form
    312,497.56/468,804.66 = 102,283.12/x
  3. Step 3: Cross multiply
    312,497.56x = 468,804.66 × 102,283.12
  4. Step 4: Simplify right side
    312,497.56x = 47,950,803,295.34
  5. Step 5: Solve for x
    x = 47,950,803,295.34/312,497.56
  6. Step 6: Final answer
    x = 153,443.77

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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.