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Finding the Fourth Proportional to 546,996.59, 820,070.04 and 354,464.30

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Solution

The fourth proportional to 546,996.59, 820,070.04 and 354,464.30 is: 531,421.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,996.59 : 820,070.04 = 354,464.30 : x
  2. Step 2: Convert to fraction form
    546,996.59/820,070.04 = 354,464.30/x
  3. Step 3: Cross multiply
    546,996.59x = 820,070.04 × 354,464.30
  4. Step 4: Simplify right side
    546,996.59x = 290,685,552,679.57
  5. Step 5: Solve for x
    x = 290,685,552,679.57/546,996.59
  6. Step 6: Final answer
    x = 531,421.14

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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.