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Finding the Fourth Proportional to 447,146.64, 670,719.84 and 260,026.92

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Solution

The fourth proportional to 447,146.64, 670,719.84 and 260,026.92 is: 390,040.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,146.64 : 670,719.84 = 260,026.92 : x
  2. Step 2: Convert to fraction form
    447,146.64/670,719.84 = 260,026.92/x
  3. Step 3: Cross multiply
    447,146.64x = 670,719.84 × 260,026.92
  4. Step 4: Simplify right side
    447,146.64x = 174,405,214,178.09
  5. Step 5: Solve for x
    x = 174,405,214,178.09/447,146.64
  6. Step 6: Final answer
    x = 390,040.31

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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.