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Finding the Fourth Proportional to 514,398.22, 709,861.83 and 284,954.80

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Solution

The fourth proportional to 514,398.22, 709,861.83 and 284,954.80 is: 393,233.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,398.22 : 709,861.83 = 284,954.80 : x
  2. Step 2: Convert to fraction form
    514,398.22/709,861.83 = 284,954.80/x
  3. Step 3: Cross multiply
    514,398.22x = 709,861.83 × 284,954.80
  4. Step 4: Simplify right side
    514,398.22x = 202,278,535,795.28
  5. Step 5: Solve for x
    x = 202,278,535,795.28/514,398.22
  6. Step 6: Final answer
    x = 393,233.35

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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.