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Finding the Fourth Proportional to 702,946.14, 970,101 and 412,570.29

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Solution

The fourth proportional to 702,946.14, 970,101 and 412,570.29 is: 569,367.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,946.14 : 970,101 = 412,570.29 : x
  2. Step 2: Convert to fraction form
    702,946.14/970,101 = 412,570.29/x
  3. Step 3: Cross multiply
    702,946.14x = 970,101 × 412,570.29
  4. Step 4: Simplify right side
    702,946.14x = 400,234,850,899.29
  5. Step 5: Solve for x
    x = 400,234,850,899.29/702,946.14
  6. Step 6: Final answer
    x = 569,367.73

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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.