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Finding the Fourth Proportional to 514,084.40, 770,896.20 and 233,457.20

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Solution

The fourth proportional to 514,084.40, 770,896.20 and 233,457.20 is: 350,081.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,084.40 : 770,896.20 = 233,457.20 : x
  2. Step 2: Convert to fraction form
    514,084.40/770,896.20 = 233,457.20/x
  3. Step 3: Cross multiply
    514,084.40x = 770,896.20 × 233,457.20
  4. Step 4: Simplify right side
    514,084.40x = 179,971,268,342.64
  5. Step 5: Solve for x
    x = 179,971,268,342.64/514,084.40
  6. Step 6: Final answer
    x = 350,081.17

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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.