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Finding the Fourth Proportional to 540,929.09, 746,472.93 and 299,211.47

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Solution

The fourth proportional to 540,929.09, 746,472.93 and 299,211.47 is: 412,906.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,929.09 : 746,472.93 = 299,211.47 : x
  2. Step 2: Convert to fraction form
    540,929.09/746,472.93 = 299,211.47/x
  3. Step 3: Cross multiply
    540,929.09x = 746,472.93 × 299,211.47
  4. Step 4: Simplify right side
    540,929.09x = 223,353,262,889.46
  5. Step 5: Solve for x
    x = 223,353,262,889.46/540,929.09
  6. Step 6: Final answer
    x = 412,906.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.