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Finding the Fourth Proportional to 540,733.92, 746,217.65 and 299,032.76

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Solution

The fourth proportional to 540,733.92, 746,217.65 and 299,032.76 is: 412,667.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,733.92 : 746,217.65 = 299,032.76 : x
  2. Step 2: Convert to fraction form
    540,733.92/746,217.65 = 299,032.76/x
  3. Step 3: Cross multiply
    540,733.92x = 746,217.65 × 299,032.76
  4. Step 4: Simplify right side
    540,733.92x = 223,143,523,440.21
  5. Step 5: Solve for x
    x = 223,143,523,440.21/540,733.92
  6. Step 6: Final answer
    x = 412,667.89

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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.