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Finding the Fourth Proportional to 510,056.21, 703,927.24 and 380,770.18

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Solution

The fourth proportional to 510,056.21, 703,927.24 and 380,770.18 is: 525,499.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,056.21 : 703,927.24 = 380,770.18 : x
  2. Step 2: Convert to fraction form
    510,056.21/703,927.24 = 380,770.18/x
  3. Step 3: Cross multiply
    510,056.21x = 703,927.24 × 380,770.18
  4. Step 4: Simplify right side
    510,056.21x = 268,034,505,271.38
  5. Step 5: Solve for x
    x = 268,034,505,271.38/510,056.21
  6. Step 6: Final answer
    x = 525,499.94

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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.