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Finding the Fourth Proportional to 967,818, 1,335,588.84 and 543,882

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Solution

The fourth proportional to 967,818, 1,335,588.84 and 543,882 is: 750,557.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,818 : 1,335,588.84 = 543,882 : x
  2. Step 2: Convert to fraction form
    967,818/1,335,588.84 = 543,882/x
  3. Step 3: Cross multiply
    967,818x = 1,335,588.84 × 543,882
  4. Step 4: Simplify right side
    967,818x = 726,402,729,476.88
  5. Step 5: Solve for x
    x = 726,402,729,476.88/967,818
  6. Step 6: Final answer
    x = 750,557.16

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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.