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Finding the Fourth Proportional to 498,026.50, 746,595.95 and 182,409.59

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Solution

The fourth proportional to 498,026.50, 746,595.95 and 182,409.59 is: 273,451.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,026.50 : 746,595.95 = 182,409.59 : x
  2. Step 2: Convert to fraction form
    498,026.50/746,595.95 = 182,409.59/x
  3. Step 3: Cross multiply
    498,026.50x = 746,595.95 × 182,409.59
  4. Step 4: Simplify right side
    498,026.50x = 136,186,261,135.16
  5. Step 5: Solve for x
    x = 136,186,261,135.16/498,026.50
  6. Step 6: Final answer
    x = 273,451.84

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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.