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Finding the Fourth Proportional to 501,006.90, 751,323.63 and 201,386.49

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Solution

The fourth proportional to 501,006.90, 751,323.63 and 201,386.49 is: 302,004.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,006.90 : 751,323.63 = 201,386.49 : x
  2. Step 2: Convert to fraction form
    501,006.90/751,323.63 = 201,386.49/x
  3. Step 3: Cross multiply
    501,006.90x = 751,323.63 × 201,386.49
  4. Step 4: Simplify right side
    501,006.90x = 151,306,428,699.76
  5. Step 5: Solve for x
    x = 151,306,428,699.76/501,006.90
  6. Step 6: Final answer
    x = 302,004.68

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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.