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Finding the Fourth Proportional to 516,073.11, 712,156.66 and 286,645.27

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Solution

The fourth proportional to 516,073.11, 712,156.66 and 286,645.27 is: 395,557.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,073.11 : 712,156.66 = 286,645.27 : x
  2. Step 2: Convert to fraction form
    516,073.11/712,156.66 = 286,645.27/x
  3. Step 3: Cross multiply
    516,073.11x = 712,156.66 × 286,645.27
  4. Step 4: Simplify right side
    516,073.11x = 204,136,334,527.22
  5. Step 5: Solve for x
    x = 204,136,334,527.22/516,073.11
  6. Step 6: Final answer
    x = 395,557.01

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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.