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Finding the Fourth Proportional to 516,069.36, 712,136.40 and 289,671.12

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Solution

The fourth proportional to 516,069.36, 712,136.40 and 289,671.12 is: 399,724.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,069.36 : 712,136.40 = 289,671.12 : x
  2. Step 2: Convert to fraction form
    516,069.36/712,136.40 = 289,671.12/x
  3. Step 3: Cross multiply
    516,069.36x = 712,136.40 × 289,671.12
  4. Step 4: Simplify right side
    516,069.36x = 206,285,348,580.77
  5. Step 5: Solve for x
    x = 206,285,348,580.77/516,069.36
  6. Step 6: Final answer
    x = 399,724.08

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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.