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Finding the Fourth Proportional to 410,326.80, 615,403.80 and 173,677.20

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Solution

The fourth proportional to 410,326.80, 615,403.80 and 173,677.20 is: 260,479.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,326.80 : 615,403.80 = 173,677.20 : x
  2. Step 2: Convert to fraction form
    410,326.80/615,403.80 = 173,677.20/x
  3. Step 3: Cross multiply
    410,326.80x = 615,403.80 × 173,677.20
  4. Step 4: Simplify right side
    410,326.80x = 106,881,608,853.36
  5. Step 5: Solve for x
    x = 106,881,608,853.36/410,326.80
  6. Step 6: Final answer
    x = 260,479.23

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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.