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Finding the Fourth Proportional to 401,614.58, 602,037.87 and 148,827.38

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Solution

The fourth proportional to 401,614.58, 602,037.87 and 148,827.38 is: 223,098.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,614.58 : 602,037.87 = 148,827.38 : x
  2. Step 2: Convert to fraction form
    401,614.58/602,037.87 = 148,827.38/x
  3. Step 3: Cross multiply
    401,614.58x = 602,037.87 × 148,827.38
  4. Step 4: Simplify right side
    401,614.58x = 89,599,718,852.88
  5. Step 5: Solve for x
    x = 89,599,718,852.88/401,614.58
  6. Step 6: Final answer
    x = 223,098.77

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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.