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Finding the Fourth Proportional to 646,653.78, 891,954.72 and 404,516.16

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Solution

The fourth proportional to 646,653.78, 891,954.72 and 404,516.16 is: 557,964.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,653.78 : 891,954.72 = 404,516.16 : x
  2. Step 2: Convert to fraction form
    646,653.78/891,954.72 = 404,516.16/x
  3. Step 3: Cross multiply
    646,653.78x = 891,954.72 × 404,516.16
  4. Step 4: Simplify right side
    646,653.78x = 360,810,098,228.28
  5. Step 5: Solve for x
    x = 360,810,098,228.28/646,653.78
  6. Step 6: Final answer
    x = 557,964.88

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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.