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Finding the Fourth Proportional to 553,780.88, 764,217.92 and 299,132.07

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Solution

The fourth proportional to 553,780.88, 764,217.92 and 299,132.07 is: 412,802.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,780.88 : 764,217.92 = 299,132.07 : x
  2. Step 2: Convert to fraction form
    553,780.88/764,217.92 = 299,132.07/x
  3. Step 3: Cross multiply
    553,780.88x = 764,217.92 × 299,132.07
  4. Step 4: Simplify right side
    553,780.88x = 228,602,088,340.69
  5. Step 5: Solve for x
    x = 228,602,088,340.69/553,780.88
  6. Step 6: Final answer
    x = 412,802.42

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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.