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Finding the Fourth Proportional to 401,369.64, 602,250.12 and 176,701.56

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Solution

The fourth proportional to 401,369.64, 602,250.12 and 176,701.56 is: 265,138.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,369.64 : 602,250.12 = 176,701.56 : x
  2. Step 2: Convert to fraction form
    401,369.64/602,250.12 = 176,701.56/x
  3. Step 3: Cross multiply
    401,369.64x = 602,250.12 × 176,701.56
  4. Step 4: Simplify right side
    401,369.64x = 106,418,535,714.19
  5. Step 5: Solve for x
    x = 106,418,535,714.19/401,369.64
  6. Step 6: Final answer
    x = 265,138.48

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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.