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Finding the Fourth Proportional to 461,047.86, 636,226.38 and 340,145.64

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Solution

The fourth proportional to 461,047.86, 636,226.38 and 340,145.64 is: 469,386.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,047.86 : 636,226.38 = 340,145.64 : x
  2. Step 2: Convert to fraction form
    461,047.86/636,226.38 = 340,145.64/x
  3. Step 3: Cross multiply
    461,047.86x = 636,226.38 × 340,145.64
  4. Step 4: Simplify right side
    461,047.86x = 216,409,629,209.98
  5. Step 5: Solve for x
    x = 216,409,629,209.98/461,047.86
  6. Step 6: Final answer
    x = 469,386.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.