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Finding the Fourth Proportional to 401,070, 601,371.72 and 176,424.24

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Solution

The fourth proportional to 401,070, 601,371.72 and 176,424.24 is: 264,533.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,070 : 601,371.72 = 176,424.24 : x
  2. Step 2: Convert to fraction form
    401,070/601,371.72 = 176,424.24/x
  3. Step 3: Cross multiply
    401,070x = 601,371.72 × 176,424.24
  4. Step 4: Simplify right side
    401,070x = 106,096,548,658.49
  5. Step 5: Solve for x
    x = 106,096,548,658.49/401,070
  6. Step 6: Final answer
    x = 264,533.74

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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.