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Finding the Fourth Proportional to 516,049.79, 712,157.51 and 283,486.53

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Solution

The fourth proportional to 516,049.79, 712,157.51 and 283,486.53 is: 391,216.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,049.79 : 712,157.51 = 283,486.53 : x
  2. Step 2: Convert to fraction form
    516,049.79/712,157.51 = 283,486.53/x
  3. Step 3: Cross multiply
    516,049.79x = 712,157.51 × 283,486.53
  4. Step 4: Simplify right side
    516,049.79x = 201,887,061,323.34
  5. Step 5: Solve for x
    x = 201,887,061,323.34/516,049.79
  6. Step 6: Final answer
    x = 391,216.25

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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.