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Finding the Fourth Proportional to 312,363.96, 468,551.70 and 112,699.32

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Solution

The fourth proportional to 312,363.96, 468,551.70 and 112,699.32 is: 169,051.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,363.96 : 468,551.70 = 112,699.32 : x
  2. Step 2: Convert to fraction form
    312,363.96/468,551.70 = 112,699.32/x
  3. Step 3: Cross multiply
    312,363.96x = 468,551.70 × 112,699.32
  4. Step 4: Simplify right side
    312,363.96x = 52,805,457,974.84
  5. Step 5: Solve for x
    x = 52,805,457,974.84/312,363.96
  6. Step 6: Final answer
    x = 169,051.06

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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.