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Finding the Fourth Proportional to 659,598.70, 989,102.40 and 260,033.80

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Solution

The fourth proportional to 659,598.70, 989,102.40 and 260,033.80 is: 389,934.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,598.70 : 989,102.40 = 260,033.80 : x
  2. Step 2: Convert to fraction form
    659,598.70/989,102.40 = 260,033.80/x
  3. Step 3: Cross multiply
    659,598.70x = 989,102.40 × 260,033.80
  4. Step 4: Simplify right side
    659,598.70x = 257,200,055,661.12
  5. Step 5: Solve for x
    x = 257,200,055,661.12/659,598.70
  6. Step 6: Final answer
    x = 389,934.15

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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.