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Finding the Fourth Proportional to 702,834.48, 969,851.98 and 412,416.06

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Solution

The fourth proportional to 702,834.48, 969,851.98 and 412,416.06 is: 569,099.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,834.48 : 969,851.98 = 412,416.06 : x
  2. Step 2: Convert to fraction form
    702,834.48/969,851.98 = 412,416.06/x
  3. Step 3: Cross multiply
    702,834.48x = 969,851.98 × 412,416.06
  4. Step 4: Simplify right side
    702,834.48x = 399,982,532,374.80
  5. Step 5: Solve for x
    x = 399,982,532,374.80/702,834.48
  6. Step 6: Final answer
    x = 569,099.19

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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.