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Finding the Fourth Proportional to 424,649.25, 637,072.29 and 144,166.50

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Solution

The fourth proportional to 424,649.25, 637,072.29 and 144,166.50 is: 216,283.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,649.25 : 637,072.29 = 144,166.50 : x
  2. Step 2: Convert to fraction form
    424,649.25/637,072.29 = 144,166.50/x
  3. Step 3: Cross multiply
    424,649.25x = 637,072.29 × 144,166.50
  4. Step 4: Simplify right side
    424,649.25x = 91,844,482,296.29
  5. Step 5: Solve for x
    x = 91,844,482,296.29/424,649.25
  6. Step 6: Final answer
    x = 216,283.16

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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.