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Finding the Fourth Proportional to 409,833.60, 614,836.80 and 173,054.40

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Solution

The fourth proportional to 409,833.60, 614,836.80 and 173,054.40 is: 259,618.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,833.60 : 614,836.80 = 173,054.40 : x
  2. Step 2: Convert to fraction form
    409,833.60/614,836.80 = 173,054.40/x
  3. Step 3: Cross multiply
    409,833.60x = 614,836.80 × 173,054.40
  4. Step 4: Simplify right side
    409,833.60x = 106,400,213,521.92
  5. Step 5: Solve for x
    x = 106,400,213,521.92/409,833.60
  6. Step 6: Final answer
    x = 259,618.08

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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.