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Finding the Fourth Proportional to 578,460.10, 798,266.18 and 323,820.40

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Solution

The fourth proportional to 578,460.10, 798,266.18 and 323,820.40 is: 446,867.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,460.10 : 798,266.18 = 323,820.40 : x
  2. Step 2: Convert to fraction form
    578,460.10/798,266.18 = 323,820.40/x
  3. Step 3: Cross multiply
    578,460.10x = 798,266.18 × 323,820.40
  4. Step 4: Simplify right side
    578,460.10x = 258,494,873,714.07
  5. Step 5: Solve for x
    x = 258,494,873,714.07/578,460.10
  6. Step 6: Final answer
    x = 446,867.25

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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.