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Finding the Fourth Proportional to 713,026, 1,069,541.42 and 180,546.78

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Solution

The fourth proportional to 713,026, 1,069,541.42 and 180,546.78 is: 270,820.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,026 : 1,069,541.42 = 180,546.78 : x
  2. Step 2: Convert to fraction form
    713,026/1,069,541.42 = 180,546.78/x
  3. Step 3: Cross multiply
    713,026x = 1,069,541.42 × 180,546.78
  4. Step 4: Simplify right side
    713,026x = 193,102,259,457.63
  5. Step 5: Solve for x
    x = 193,102,259,457.63/713,026
  6. Step 6: Final answer
    x = 270,820.78

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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.