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Finding the Fourth Proportional to 317,680.64, 476,521.13 and 199,435.02

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Solution

The fourth proportional to 317,680.64, 476,521.13 and 199,435.02 is: 299,152.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,680.64 : 476,521.13 = 199,435.02 : x
  2. Step 2: Convert to fraction form
    317,680.64/476,521.13 = 199,435.02/x
  3. Step 3: Cross multiply
    317,680.64x = 476,521.13 × 199,435.02
  4. Step 4: Simplify right side
    317,680.64x = 95,035,001,091.97
  5. Step 5: Solve for x
    x = 95,035,001,091.97/317,680.64
  6. Step 6: Final answer
    x = 299,152.64

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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.