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Finding the Fourth Proportional to 389,596.96, 584,317.68 and 123,312.16

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Solution

The fourth proportional to 389,596.96, 584,317.68 and 123,312.16 is: 184,943.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,596.96 : 584,317.68 = 123,312.16 : x
  2. Step 2: Convert to fraction form
    389,596.96/584,317.68 = 123,312.16/x
  3. Step 3: Cross multiply
    389,596.96x = 584,317.68 × 123,312.16
  4. Step 4: Simplify right side
    389,596.96x = 72,053,475,246.99
  5. Step 5: Solve for x
    x = 72,053,475,246.99/389,596.96
  6. Step 6: Final answer
    x = 184,943.63

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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.