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Finding the Fourth Proportional to 312,430.26, 468,548.46 and 112,724.76

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Solution

The fourth proportional to 312,430.26, 468,548.46 and 112,724.76 is: 169,052.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,430.26 : 468,548.46 = 112,724.76 : x
  2. Step 2: Convert to fraction form
    312,430.26/468,548.46 = 112,724.76/x
  3. Step 3: Cross multiply
    312,430.26x = 468,548.46 × 112,724.76
  4. Step 4: Simplify right side
    312,430.26x = 52,817,012,701.87
  5. Step 5: Solve for x
    x = 52,817,012,701.87/312,430.26
  6. Step 6: Final answer
    x = 169,052.17

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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.