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Finding the Fourth Proportional to 315,498.88, 435,337.09 and 186,419.37

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Solution

The fourth proportional to 315,498.88, 435,337.09 and 186,419.37 is: 257,228.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,498.88 : 435,337.09 = 186,419.37 : x
  2. Step 2: Convert to fraction form
    315,498.88/435,337.09 = 186,419.37/x
  3. Step 3: Cross multiply
    315,498.88x = 435,337.09 × 186,419.37
  4. Step 4: Simplify right side
    315,498.88x = 81,155,266,055.43
  5. Step 5: Solve for x
    x = 81,155,266,055.43/315,498.88
  6. Step 6: Final answer
    x = 257,228.38

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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.