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Finding the Fourth Proportional to 424,902.24, 636,886.80 and 144,208.08

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Solution

The fourth proportional to 424,902.24, 636,886.80 and 144,208.08 is: 216,153.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,902.24 : 636,886.80 = 144,208.08 : x
  2. Step 2: Convert to fraction form
    424,902.24/636,886.80 = 144,208.08/x
  3. Step 3: Cross multiply
    424,902.24x = 636,886.80 × 144,208.08
  4. Step 4: Simplify right side
    424,902.24x = 91,844,222,605.34
  5. Step 5: Solve for x
    x = 91,844,222,605.34/424,902.24
  6. Step 6: Final answer
    x = 216,153.77

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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.