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Finding the Fourth Proportional to 553,763.34, 764,193.74 and 299,114.52

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Solution

The fourth proportional to 553,763.34, 764,193.74 and 299,114.52 is: 412,778.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,763.34 : 764,193.74 = 299,114.52 : x
  2. Step 2: Convert to fraction form
    553,763.34/764,193.74 = 299,114.52/x
  3. Step 3: Cross multiply
    553,763.34x = 764,193.74 × 299,114.52
  4. Step 4: Simplify right side
    553,763.34x = 228,581,443,727.11
  5. Step 5: Solve for x
    x = 228,581,443,727.11/553,763.34
  6. Step 6: Final answer
    x = 412,778.22

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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.