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Finding the Fourth Proportional to 501,123.84, 751,849.60 and 185,603.84

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Solution

The fourth proportional to 501,123.84, 751,849.60 and 185,603.84 is: 278,466.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,123.84 : 751,849.60 = 185,603.84 : x
  2. Step 2: Convert to fraction form
    501,123.84/751,849.60 = 185,603.84/x
  3. Step 3: Cross multiply
    501,123.84x = 751,849.60 × 185,603.84
  4. Step 4: Simplify right side
    501,123.84x = 139,546,172,862.46
  5. Step 5: Solve for x
    x = 139,546,172,862.46/501,123.84
  6. Step 6: Final answer
    x = 278,466.44

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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.