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Finding the Fourth Proportional to 521,216.40, 718,907.84 and 478,334.38

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Solution

The fourth proportional to 521,216.40, 718,907.84 and 478,334.38 is: 659,761.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,216.40 : 718,907.84 = 478,334.38 : x
  2. Step 2: Convert to fraction form
    521,216.40/718,907.84 = 478,334.38/x
  3. Step 3: Cross multiply
    521,216.40x = 718,907.84 × 478,334.38
  4. Step 4: Simplify right side
    521,216.40x = 343,878,335,923.54
  5. Step 5: Solve for x
    x = 343,878,335,923.54/521,216.40
  6. Step 6: Final answer
    x = 659,761.16

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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.