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Finding the Fourth Proportional to 343,877.80, 515,816.70 and 265,145.80

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Solution

The fourth proportional to 343,877.80, 515,816.70 and 265,145.80 is: 397,718.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,877.80 : 515,816.70 = 265,145.80 : x
  2. Step 2: Convert to fraction form
    343,877.80/515,816.70 = 265,145.80/x
  3. Step 3: Cross multiply
    343,877.80x = 515,816.70 × 265,145.80
  4. Step 4: Simplify right side
    343,877.80x = 136,766,631,574.86
  5. Step 5: Solve for x
    x = 136,766,631,574.86/343,877.80
  6. Step 6: Final answer
    x = 397,718.70

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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.