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Finding the Fourth Proportional to 469,534.40, 703,221.60 and 385,553.60

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Solution

The fourth proportional to 469,534.40, 703,221.60 and 385,553.60 is: 577,443.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,534.40 : 703,221.60 = 385,553.60 : x
  2. Step 2: Convert to fraction form
    469,534.40/703,221.60 = 385,553.60/x
  3. Step 3: Cross multiply
    469,534.40x = 703,221.60 × 385,553.60
  4. Step 4: Simplify right side
    469,534.40x = 271,129,619,477.76
  5. Step 5: Solve for x
    x = 271,129,619,477.76/469,534.40
  6. Step 6: Final answer
    x = 577,443.57

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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.