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Finding the Fourth Proportional to 308,530.70, 463,224.33 and 158,877.90

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Solution

The fourth proportional to 308,530.70, 463,224.33 and 158,877.90 is: 238,537.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,530.70 : 463,224.33 = 158,877.90 : x
  2. Step 2: Convert to fraction form
    308,530.70/463,224.33 = 158,877.90/x
  3. Step 3: Cross multiply
    308,530.70x = 463,224.33 × 158,877.90
  4. Step 4: Simplify right side
    308,530.70x = 73,596,108,779.31
  5. Step 5: Solve for x
    x = 73,596,108,779.31/308,530.70
  6. Step 6: Final answer
    x = 238,537.39

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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.