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Finding the Fourth Proportional to 401,416.44, 602,147.34 and 176,881.74

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Solution

The fourth proportional to 401,416.44, 602,147.34 and 176,881.74 is: 265,332.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,416.44 : 602,147.34 = 176,881.74 : x
  2. Step 2: Convert to fraction form
    401,416.44/602,147.34 = 176,881.74/x
  3. Step 3: Cross multiply
    401,416.44x = 602,147.34 × 176,881.74
  4. Step 4: Simplify right side
    401,416.44x = 106,508,869,235.57
  5. Step 5: Solve for x
    x = 106,508,869,235.57/401,416.44
  6. Step 6: Final answer
    x = 265,332.60

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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.