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Finding the Fourth Proportional to 452,305.46, 678,460.53 and 265,185.74

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Solution

The fourth proportional to 452,305.46, 678,460.53 and 265,185.74 is: 397,779.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,305.46 : 678,460.53 = 265,185.74 : x
  2. Step 2: Convert to fraction form
    452,305.46/678,460.53 = 265,185.74/x
  3. Step 3: Cross multiply
    452,305.46x = 678,460.53 × 265,185.74
  4. Step 4: Simplify right side
    452,305.46x = 179,918,057,708.84
  5. Step 5: Solve for x
    x = 179,918,057,708.84/452,305.46
  6. Step 6: Final answer
    x = 397,779.98

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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.