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Finding the Fourth Proportional to 727,768.32, 1,090,445.64 and 442,596.30

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Solution

The fourth proportional to 727,768.32, 1,090,445.64 and 442,596.30 is: 663,160.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,768.32 : 1,090,445.64 = 442,596.30 : x
  2. Step 2: Convert to fraction form
    727,768.32/1,090,445.64 = 442,596.30/x
  3. Step 3: Cross multiply
    727,768.32x = 1,090,445.64 × 442,596.30
  4. Step 4: Simplify right side
    727,768.32x = 482,627,205,615.13
  5. Step 5: Solve for x
    x = 482,627,205,615.13/727,768.32
  6. Step 6: Final answer
    x = 663,160.50

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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.