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Finding the Fourth Proportional to 333,701.76, 460,548.84 and 188,513.64

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Solution

The fourth proportional to 333,701.76, 460,548.84 and 188,513.64 is: 260,171.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,701.76 : 460,548.84 = 188,513.64 : x
  2. Step 2: Convert to fraction form
    333,701.76/460,548.84 = 188,513.64/x
  3. Step 3: Cross multiply
    333,701.76x = 460,548.84 × 188,513.64
  4. Step 4: Simplify right side
    333,701.76x = 86,819,738,226.18
  5. Step 5: Solve for x
    x = 86,819,738,226.18/333,701.76
  6. Step 6: Final answer
    x = 260,171.65

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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.