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Finding the Fourth Proportional to 553,765.82, 764,196.83 and 299,117.00

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Solution

The fourth proportional to 553,765.82, 764,196.83 and 299,117.00 is: 412,781.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,765.82 : 764,196.83 = 299,117.00 : x
  2. Step 2: Convert to fraction form
    553,765.82/764,196.83 = 299,117.00/x
  3. Step 3: Cross multiply
    553,765.82x = 764,196.83 × 299,117.00
  4. Step 4: Simplify right side
    553,765.82x = 228,584,264,735.71
  5. Step 5: Solve for x
    x = 228,584,264,735.71/553,765.82
  6. Step 6: Final answer
    x = 412,781.47

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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.