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Finding the Fourth Proportional to 546,971.40, 820,068.30 and 209,881.80

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Solution

The fourth proportional to 546,971.40, 820,068.30 and 209,881.80 is: 314,673.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,971.40 : 820,068.30 = 209,881.80 : x
  2. Step 2: Convert to fraction form
    546,971.40/820,068.30 = 209,881.80/x
  3. Step 3: Cross multiply
    546,971.40x = 820,068.30 × 209,881.80
  4. Step 4: Simplify right side
    546,971.40x = 172,117,410,926.94
  5. Step 5: Solve for x
    x = 172,117,410,926.94/546,971.40
  6. Step 6: Final answer
    x = 314,673.51

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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.