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Finding the Fourth Proportional to 500,555.30, 749,945.19 and 415,818.50

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Solution

The fourth proportional to 500,555.30, 749,945.19 and 415,818.50 is: 622,990.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,555.30 : 749,945.19 = 415,818.50 : x
  2. Step 2: Convert to fraction form
    500,555.30/749,945.19 = 415,818.50/x
  3. Step 3: Cross multiply
    500,555.30x = 749,945.19 × 415,818.50
  4. Step 4: Simplify right side
    500,555.30x = 311,841,083,988.02
  5. Step 5: Solve for x
    x = 311,841,083,988.02/500,555.30
  6. Step 6: Final answer
    x = 622,990.27

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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.