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Finding the Fourth Proportional to 401,713.85, 602,727.60 and 176,916.31

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Solution

The fourth proportional to 401,713.85, 602,727.60 and 176,916.31 is: 265,443.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,713.85 : 602,727.60 = 176,916.31 : x
  2. Step 2: Convert to fraction form
    401,713.85/602,727.60 = 176,916.31/x
  3. Step 3: Cross multiply
    401,713.85x = 602,727.60 × 176,916.31
  4. Step 4: Simplify right side
    401,713.85x = 106,632,342,927.16
  5. Step 5: Solve for x
    x = 106,632,342,927.16/401,713.85
  6. Step 6: Final answer
    x = 265,443.53

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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.