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Finding the Fourth Proportional to 507,930.86, 761,888.54 and 123,683.31

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Solution

The fourth proportional to 507,930.86, 761,888.54 and 123,683.31 is: 185,523.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,930.86 : 761,888.54 = 123,683.31 : x
  2. Step 2: Convert to fraction form
    507,930.86/761,888.54 = 123,683.31/x
  3. Step 3: Cross multiply
    507,930.86x = 761,888.54 × 123,683.31
  4. Step 4: Simplify right side
    507,930.86x = 94,232,895,859.85
  5. Step 5: Solve for x
    x = 94,232,895,859.85/507,930.86
  6. Step 6: Final answer
    x = 185,523.08

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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.