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Finding the Fourth Proportional to 333,392.78, 460,081.13 and 180,431.30

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Solution

The fourth proportional to 333,392.78, 460,081.13 and 180,431.30 is: 248,994.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,392.78 : 460,081.13 = 180,431.30 : x
  2. Step 2: Convert to fraction form
    333,392.78/460,081.13 = 180,431.30/x
  3. Step 3: Cross multiply
    333,392.78x = 460,081.13 × 180,431.30
  4. Step 4: Simplify right side
    333,392.78x = 83,013,033,188.81
  5. Step 5: Solve for x
    x = 83,013,033,188.81/333,392.78
  6. Step 6: Final answer
    x = 248,994.70

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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.