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Finding the Fourth Proportional to 546,204.94, 819,307.41 and 172,227.94

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Solution

The fourth proportional to 546,204.94, 819,307.41 and 172,227.94 is: 258,341.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,204.94 : 819,307.41 = 172,227.94 : x
  2. Step 2: Convert to fraction form
    546,204.94/819,307.41 = 172,227.94/x
  3. Step 3: Cross multiply
    546,204.94x = 819,307.41 × 172,227.94
  4. Step 4: Simplify right side
    546,204.94x = 141,107,624,756.91
  5. Step 5: Solve for x
    x = 141,107,624,756.91/546,204.94
  6. Step 6: Final answer
    x = 258,341.91

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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.