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Finding the Fourth Proportional to 380,336.02, 569,683.83 and 357,978.28

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Solution

The fourth proportional to 380,336.02, 569,683.83 and 357,978.28 is: 536,195.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,336.02 : 569,683.83 = 357,978.28 : x
  2. Step 2: Convert to fraction form
    380,336.02/569,683.83 = 357,978.28/x
  3. Step 3: Cross multiply
    380,336.02x = 569,683.83 × 357,978.28
  4. Step 4: Simplify right side
    380,336.02x = 203,934,437,607.21
  5. Step 5: Solve for x
    x = 203,934,437,607.21/380,336.02
  6. Step 6: Final answer
    x = 536,195.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.