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Finding the Fourth Proportional to 417,523.76, 626,381.16 and 180,905.84

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Solution

The fourth proportional to 417,523.76, 626,381.16 and 180,905.84 is: 271,400.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,523.76 : 626,381.16 = 180,905.84 : x
  2. Step 2: Convert to fraction form
    417,523.76/626,381.16 = 180,905.84/x
  3. Step 3: Cross multiply
    417,523.76x = 626,381.16 × 180,905.84
  4. Step 4: Simplify right side
    417,523.76x = 113,316,009,909.97
  5. Step 5: Solve for x
    x = 113,316,009,909.97/417,523.76
  6. Step 6: Final answer
    x = 271,400.15

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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.