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Finding the Fourth Proportional to 313,340.16, 470,010.24 and 91,724.16

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Solution

The fourth proportional to 313,340.16, 470,010.24 and 91,724.16 is: 137,586.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,340.16 : 470,010.24 = 91,724.16 : x
  2. Step 2: Convert to fraction form
    313,340.16/470,010.24 = 91,724.16/x
  3. Step 3: Cross multiply
    313,340.16x = 470,010.24 × 91,724.16
  4. Step 4: Simplify right side
    313,340.16x = 43,111,294,455.40
  5. Step 5: Solve for x
    x = 43,111,294,455.40/313,340.16
  6. Step 6: Final answer
    x = 137,586.24

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1.5x scale

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.