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Finding the Fourth Proportional to 334,584.64, 461,763.52 and 191,358.08

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Solution

The fourth proportional to 334,584.64, 461,763.52 and 191,358.08 is: 264,095.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,584.64 : 461,763.52 = 191,358.08 : x
  2. Step 2: Convert to fraction form
    334,584.64/461,763.52 = 191,358.08/x
  3. Step 3: Cross multiply
    334,584.64x = 461,763.52 × 191,358.08
  4. Step 4: Simplify right side
    334,584.64x = 88,362,180,601.24
  5. Step 5: Solve for x
    x = 88,362,180,601.24/334,584.64
  6. Step 6: Final answer
    x = 264,095.15

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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.