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Finding the Fourth Proportional to 598,729, 826,247.10 and 330,457

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Solution

The fourth proportional to 598,729, 826,247.10 and 330,457 is: 456,031.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,729 : 826,247.10 = 330,457 : x
  2. Step 2: Convert to fraction form
    598,729/826,247.10 = 330,457/x
  3. Step 3: Cross multiply
    598,729x = 826,247.10 × 330,457
  4. Step 4: Simplify right side
    598,729x = 273,039,137,924.70
  5. Step 5: Solve for x
    x = 273,039,137,924.70/598,729
  6. Step 6: Final answer
    x = 456,031.26

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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.