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Finding the Fourth Proportional to 497,032.50, 745,548.77 and 123,055.50

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Solution

The fourth proportional to 497,032.50, 745,548.77 and 123,055.50 is: 184,583.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,032.50 : 745,548.77 = 123,055.50 : x
  2. Step 2: Convert to fraction form
    497,032.50/745,548.77 = 123,055.50/x
  3. Step 3: Cross multiply
    497,032.50x = 745,548.77 × 123,055.50
  4. Step 4: Simplify right side
    497,032.50x = 91,743,876,051.46
  5. Step 5: Solve for x
    x = 91,743,876,051.46/497,032.50
  6. Step 6: Final answer
    x = 184,583.25

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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.