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Finding the Fourth Proportional to 243,828.40, 365,029.80 and 173,844.40

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Solution

The fourth proportional to 243,828.40, 365,029.80 and 173,844.40 is: 260,258.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,828.40 : 365,029.80 = 173,844.40 : x
  2. Step 2: Convert to fraction form
    243,828.40/365,029.80 = 173,844.40/x
  3. Step 3: Cross multiply
    243,828.40x = 365,029.80 × 173,844.40
  4. Step 4: Simplify right side
    243,828.40x = 63,458,386,563.12
  5. Step 5: Solve for x
    x = 63,458,386,563.12/243,828.40
  6. Step 6: Final answer
    x = 260,258.39

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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.