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Finding the Fourth Proportional to 401,614.39, 602,403.36 and 176,914.72

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Solution

The fourth proportional to 401,614.39, 602,403.36 and 176,914.72 is: 265,364.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,614.39 : 602,403.36 = 176,914.72 : x
  2. Step 2: Convert to fraction form
    401,614.39/602,403.36 = 176,914.72/x
  3. Step 3: Cross multiply
    401,614.39x = 602,403.36 × 176,914.72
  4. Step 4: Simplify right side
    401,614.39x = 106,574,021,761.46
  5. Step 5: Solve for x
    x = 106,574,021,761.46/401,614.39
  6. Step 6: Final answer
    x = 265,364.05

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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.