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Finding the Fourth Proportional to 657,716.80, 986,834.40 and 258,289.60

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Solution

The fourth proportional to 657,716.80, 986,834.40 and 258,289.60 is: 387,536.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,716.80 : 986,834.40 = 258,289.60 : x
  2. Step 2: Convert to fraction form
    657,716.80/986,834.40 = 258,289.60/x
  3. Step 3: Cross multiply
    657,716.80x = 986,834.40 × 258,289.60
  4. Step 4: Simplify right side
    657,716.80x = 254,889,062,442.24
  5. Step 5: Solve for x
    x = 254,889,062,442.24/657,716.80
  6. Step 6: Final answer
    x = 387,536.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.