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Finding the Fourth Proportional to 346,426.46, 478,108.84 and 288,180.30

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Solution

The fourth proportional to 346,426.46, 478,108.84 and 288,180.30 is: 397,722.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,426.46 : 478,108.84 = 288,180.30 : x
  2. Step 2: Convert to fraction form
    346,426.46/478,108.84 = 288,180.30/x
  3. Step 3: Cross multiply
    346,426.46x = 478,108.84 × 288,180.30
  4. Step 4: Simplify right side
    346,426.46x = 137,781,546,553.31
  5. Step 5: Solve for x
    x = 137,781,546,553.31/346,426.46
  6. Step 6: Final answer
    x = 397,722.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.