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Finding the Fourth Proportional to 546,994.09, 820,066.29 and 354,461.80

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Solution

The fourth proportional to 546,994.09, 820,066.29 and 354,461.80 is: 531,417.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,994.09 : 820,066.29 = 354,461.80 : x
  2. Step 2: Convert to fraction form
    546,994.09/820,066.29 = 354,461.80/x
  3. Step 3: Cross multiply
    546,994.09x = 820,066.29 × 354,461.80
  4. Step 4: Simplify right side
    546,994.09x = 290,682,173,272.72
  5. Step 5: Solve for x
    x = 290,682,173,272.72/546,994.09
  6. Step 6: Final answer
    x = 531,417.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.