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Finding the Fourth Proportional to 410,464.80, 615,762 and 173,808.96

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Solution

The fourth proportional to 410,464.80, 615,762 and 173,808.96 is: 260,740.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,464.80 : 615,762 = 173,808.96 : x
  2. Step 2: Convert to fraction form
    410,464.80/615,762 = 173,808.96/x
  3. Step 3: Cross multiply
    410,464.80x = 615,762 × 173,808.96
  4. Step 4: Simplify right side
    410,464.80x = 107,024,952,827.52
  5. Step 5: Solve for x
    x = 107,024,952,827.52/410,464.80
  6. Step 6: Final answer
    x = 260,740.88

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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.