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Finding the Fourth Proportional to 702,950.45, 970,072.14 and 380,660.90

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Solution

The fourth proportional to 702,950.45, 970,072.14 and 380,660.90 is: 525,312.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,950.45 : 970,072.14 = 380,660.90 : x
  2. Step 2: Convert to fraction form
    702,950.45/970,072.14 = 380,660.90/x
  3. Step 3: Cross multiply
    702,950.45x = 970,072.14 × 380,660.90
  4. Step 4: Simplify right side
    702,950.45x = 369,268,533,877.33
  5. Step 5: Solve for x
    x = 369,268,533,877.33/702,950.45
  6. Step 6: Final answer
    x = 525,312.32

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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.