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Finding the Fourth Proportional to 834,260.88, 1,151,265 and 471,678.48

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Solution

The fourth proportional to 834,260.88, 1,151,265 and 471,678.48 is: 650,907.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,260.88 : 1,151,265 = 471,678.48 : x
  2. Step 2: Convert to fraction form
    834,260.88/1,151,265 = 471,678.48/x
  3. Step 3: Cross multiply
    834,260.88x = 1,151,265 × 471,678.48
  4. Step 4: Simplify right side
    834,260.88x = 543,026,925,277.20
  5. Step 5: Solve for x
    x = 543,026,925,277.20/834,260.88
  6. Step 6: Final answer
    x = 650,907.81

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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.