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Finding the Fourth Proportional to 703,052.57, 970,213.31 and 380,763.02

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Solution

The fourth proportional to 703,052.57, 970,213.31 and 380,763.02 is: 525,453.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,052.57 : 970,213.31 = 380,763.02 : x
  2. Step 2: Convert to fraction form
    703,052.57/970,213.31 = 380,763.02/x
  3. Step 3: Cross multiply
    703,052.57x = 970,213.31 × 380,763.02
  4. Step 4: Simplify right side
    703,052.57x = 369,421,343,204.92
  5. Step 5: Solve for x
    x = 369,421,343,204.92/703,052.57
  6. Step 6: Final answer
    x = 525,453.38

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.