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Finding the Fourth Proportional to 498,507.53, 687,914.51 and 283,643.21

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Solution

The fourth proportional to 498,507.53, 687,914.51 and 283,643.21 is: 391,412.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,507.53 : 687,914.51 = 283,643.21 : x
  2. Step 2: Convert to fraction form
    498,507.53/687,914.51 = 283,643.21/x
  3. Step 3: Cross multiply
    498,507.53x = 687,914.51 × 283,643.21
  4. Step 4: Simplify right side
    498,507.53x = 195,122,276,382.41
  5. Step 5: Solve for x
    x = 195,122,276,382.41/498,507.53
  6. Step 6: Final answer
    x = 391,412.90

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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.