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Finding the Fourth Proportional to 534,473.82, 737,580 and 305,062.08

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Solution

The fourth proportional to 534,473.82, 737,580 and 305,062.08 is: 420,989.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,473.82 : 737,580 = 305,062.08 : x
  2. Step 2: Convert to fraction form
    534,473.82/737,580 = 305,062.08/x
  3. Step 3: Cross multiply
    534,473.82x = 737,580 × 305,062.08
  4. Step 4: Simplify right side
    534,473.82x = 225,007,688,966.40
  5. Step 5: Solve for x
    x = 225,007,688,966.40/534,473.82
  6. Step 6: Final answer
    x = 420,989.17

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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.