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Finding the Fourth Proportional to 346,509.85, 478,178.49 and 193,550.17

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Solution

The fourth proportional to 346,509.85, 478,178.49 and 193,550.17 is: 267,096.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,509.85 : 478,178.49 = 193,550.17 : x
  2. Step 2: Convert to fraction form
    346,509.85/478,178.49 = 193,550.17/x
  3. Step 3: Cross multiply
    346,509.85x = 478,178.49 × 193,550.17
  4. Step 4: Simplify right side
    346,509.85x = 92,551,528,029.84
  5. Step 5: Solve for x
    x = 92,551,528,029.84/346,509.85
  6. Step 6: Final answer
    x = 267,096.38

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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.