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Finding the Fourth Proportional to 501,429.44, 752,365.51 and 202,493.87

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Solution

The fourth proportional to 501,429.44, 752,365.51 and 202,493.87 is: 303,830.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,429.44 : 752,365.51 = 202,493.87 : x
  2. Step 2: Convert to fraction form
    501,429.44/752,365.51 = 202,493.87/x
  3. Step 3: Cross multiply
    501,429.44x = 752,365.51 × 202,493.87
  4. Step 4: Simplify right side
    501,429.44x = 152,349,407,698.82
  5. Step 5: Solve for x
    x = 152,349,407,698.82/501,429.44
  6. Step 6: Final answer
    x = 303,830.20

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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.