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Finding the Fourth Proportional to 533,216.09, 735,361.30 and 442,428.17

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Solution

The fourth proportional to 533,216.09, 735,361.30 and 442,428.17 is: 610,155.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,216.09 : 735,361.30 = 442,428.17 : x
  2. Step 2: Convert to fraction form
    533,216.09/735,361.30 = 442,428.17/x
  3. Step 3: Cross multiply
    533,216.09x = 735,361.30 × 442,428.17
  4. Step 4: Simplify right side
    533,216.09x = 325,344,554,247.82
  5. Step 5: Solve for x
    x = 325,344,554,247.82/533,216.09
  6. Step 6: Final answer
    x = 610,155.17

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1.5x scale

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.