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Finding the Fourth Proportional to 312,420.56, 468,533.91 and 112,714.98

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Solution

The fourth proportional to 312,420.56, 468,533.91 and 112,714.98 is: 169,037.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,420.56 : 468,533.91 = 112,714.98 : x
  2. Step 2: Convert to fraction form
    312,420.56/468,533.91 = 112,714.98/x
  3. Step 3: Cross multiply
    312,420.56x = 468,533.91 × 112,714.98
  4. Step 4: Simplify right side
    312,420.56x = 52,810,790,294.97
  5. Step 5: Solve for x
    x = 52,810,790,294.97/312,420.56
  6. Step 6: Final answer
    x = 169,037.50

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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.