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Finding the Fourth Proportional to 401,711.34, 602,723.86 and 176,913.80

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Solution

The fourth proportional to 401,711.34, 602,723.86 and 176,913.80 is: 265,439.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,711.34 : 602,723.86 = 176,913.80 : x
  2. Step 2: Convert to fraction form
    401,711.34/602,723.86 = 176,913.80/x
  3. Step 3: Cross multiply
    401,711.34x = 602,723.86 × 176,913.80
  4. Step 4: Simplify right side
    401,711.34x = 106,630,168,423.27
  5. Step 5: Solve for x
    x = 106,630,168,423.27/401,711.34
  6. Step 6: Final answer
    x = 265,439.78

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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.