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Finding the Fourth Proportional to 333,376, 460,055.36 and 180,410.88

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Solution

The fourth proportional to 333,376, 460,055.36 and 180,410.88 is: 248,965.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,376 : 460,055.36 = 180,410.88 : x
  2. Step 2: Convert to fraction form
    333,376/460,055.36 = 180,410.88/x
  3. Step 3: Cross multiply
    333,376x = 460,055.36 × 180,410.88
  4. Step 4: Simplify right side
    333,376x = 82,998,992,346.32
  5. Step 5: Solve for x
    x = 82,998,992,346.32/333,376
  6. Step 6: Final answer
    x = 248,965.11

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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.