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Finding the Fourth Proportional to 533,215.09, 735,359.92 and 442,427.17

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Solution

The fourth proportional to 533,215.09, 735,359.92 and 442,427.17 is: 610,153.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,215.09 : 735,359.92 = 442,427.17 : x
  2. Step 2: Convert to fraction form
    533,215.09/735,359.92 = 442,427.17/x
  3. Step 3: Cross multiply
    533,215.09x = 735,359.92 × 442,427.17
  4. Step 4: Simplify right side
    533,215.09x = 325,343,208,337.03
  5. Step 5: Solve for x
    x = 325,343,208,337.03/533,215.09
  6. Step 6: Final answer
    x = 610,153.79

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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.