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Finding the Fourth Proportional to 364,596.47, 546,949.41 and 127,897.46

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Solution

The fourth proportional to 364,596.47, 546,949.41 and 127,897.46 is: 191,865.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,596.47 : 546,949.41 = 127,897.46 : x
  2. Step 2: Convert to fraction form
    364,596.47/546,949.41 = 127,897.46/x
  3. Step 3: Cross multiply
    364,596.47x = 546,949.41 × 127,897.46
  4. Step 4: Simplify right side
    364,596.47x = 69,953,440,287.50
  5. Step 5: Solve for x
    x = 69,953,440,287.50/364,596.47
  6. Step 6: Final answer
    x = 191,865.38

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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.