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Finding the Fourth Proportional to 413,810.85, 620,703.96 and 114,309.39

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Solution

The fourth proportional to 413,810.85, 620,703.96 and 114,309.39 is: 171,460.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,810.85 : 620,703.96 = 114,309.39 : x
  2. Step 2: Convert to fraction form
    413,810.85/620,703.96 = 114,309.39/x
  3. Step 3: Cross multiply
    413,810.85x = 620,703.96 × 114,309.39
  4. Step 4: Simplify right side
    413,810.85x = 70,952,291,038.18
  5. Step 5: Solve for x
    x = 70,952,291,038.18/413,810.85
  6. Step 6: Final answer
    x = 171,460.68

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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.