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Finding the Fourth Proportional to 411,329.67, 616,931.90 and 158,573.27

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Solution

The fourth proportional to 411,329.67, 616,931.90 and 158,573.27 is: 237,835.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,329.67 : 616,931.90 = 158,573.27 : x
  2. Step 2: Convert to fraction form
    411,329.67/616,931.90 = 158,573.27/x
  3. Step 3: Cross multiply
    411,329.67x = 616,931.90 × 158,573.27
  4. Step 4: Simplify right side
    411,329.67x = 97,828,905,665.65
  5. Step 5: Solve for x
    x = 97,828,905,665.65/411,329.67
  6. Step 6: Final answer
    x = 237,835.77

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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.