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Finding the Fourth Proportional to 702,922.10, 970,037.12 and 380,632.23

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Solution

The fourth proportional to 702,922.10, 970,037.12 and 380,632.23 is: 525,274.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,922.10 : 970,037.12 = 380,632.23 : x
  2. Step 2: Convert to fraction form
    702,922.10/970,037.12 = 380,632.23/x
  3. Step 3: Cross multiply
    702,922.10x = 970,037.12 × 380,632.23
  4. Step 4: Simplify right side
    702,922.10x = 369,227,392,168.38
  5. Step 5: Solve for x
    x = 369,227,392,168.38/702,922.10
  6. Step 6: Final answer
    x = 525,274.98

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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.