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Finding the Fourth Proportional to 501,237.84, 752,012.64 and 164,281.44

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Solution

The fourth proportional to 501,237.84, 752,012.64 and 164,281.44 is: 246,473.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,237.84 : 752,012.64 = 164,281.44 : x
  2. Step 2: Convert to fraction form
    501,237.84/752,012.64 = 164,281.44/x
  3. Step 3: Cross multiply
    501,237.84x = 752,012.64 × 164,281.44
  4. Step 4: Simplify right side
    501,237.84x = 123,541,719,397.40
  5. Step 5: Solve for x
    x = 123,541,719,397.40/501,237.84
  6. Step 6: Final answer
    x = 246,473.25

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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.