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Finding the Fourth Proportional to 545,951.84, 753,012.50 and 361,857.47

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Solution

The fourth proportional to 545,951.84, 753,012.50 and 361,857.47 is: 499,097.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,951.84 : 753,012.50 = 361,857.47 : x
  2. Step 2: Convert to fraction form
    545,951.84/753,012.50 = 361,857.47/x
  3. Step 3: Cross multiply
    545,951.84x = 753,012.50 × 361,857.47
  4. Step 4: Simplify right side
    545,951.84x = 272,483,192,554.03
  5. Step 5: Solve for x
    x = 272,483,192,554.03/545,951.84
  6. Step 6: Final answer
    x = 499,097.49

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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.