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Finding the Fourth Proportional to 729,688, 1,094,532 and 197,168.16

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Solution

The fourth proportional to 729,688, 1,094,532 and 197,168.16 is: 295,752.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,688 : 1,094,532 = 197,168.16 : x
  2. Step 2: Convert to fraction form
    729,688/1,094,532 = 197,168.16/x
  3. Step 3: Cross multiply
    729,688x = 1,094,532 × 197,168.16
  4. Step 4: Simplify right side
    729,688x = 215,806,860,501.12
  5. Step 5: Solve for x
    x = 215,806,860,501.12/729,688
  6. Step 6: Final answer
    x = 295,752.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.