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Finding the Fourth Proportional to 507,593.47, 761,559.77 and 166,052.47

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Solution

The fourth proportional to 507,593.47, 761,559.77 and 166,052.47 is: 249,134.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,593.47 : 761,559.77 = 166,052.47 : x
  2. Step 2: Convert to fraction form
    507,593.47/761,559.77 = 166,052.47/x
  3. Step 3: Cross multiply
    507,593.47x = 761,559.77 × 166,052.47
  4. Step 4: Simplify right side
    507,593.47x = 126,458,877,053.33
  5. Step 5: Solve for x
    x = 126,458,877,053.33/507,593.47
  6. Step 6: Final answer
    x = 249,134.17

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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.