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Finding the Fourth Proportional to 341,262.80, 511,894.20 and 288,118.70

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Solution

The fourth proportional to 341,262.80, 511,894.20 and 288,118.70 is: 432,178.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,262.80 : 511,894.20 = 288,118.70 : x
  2. Step 2: Convert to fraction form
    341,262.80/511,894.20 = 288,118.70/x
  3. Step 3: Cross multiply
    341,262.80x = 511,894.20 × 288,118.70
  4. Step 4: Simplify right side
    341,262.80x = 147,486,291,441.54
  5. Step 5: Solve for x
    x = 147,486,291,441.54/341,262.80
  6. Step 6: Final answer
    x = 432,178.05

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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.