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Finding the Fourth Proportional to 386,412.80, 519,998.40 and 386,412.80

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Solution

The fourth proportional to 386,412.80, 519,998.40 and 386,412.80 is: 519,998.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,412.80 : 519,998.40 = 386,412.80 : x
  2. Step 2: Convert to fraction form
    386,412.80/519,998.40 = 386,412.80/x
  3. Step 3: Cross multiply
    386,412.80x = 519,998.40 × 386,412.80
  4. Step 4: Simplify right side
    386,412.80x = 200,934,037,739.52
  5. Step 5: Solve for x
    x = 200,934,037,739.52/386,412.80
  6. Step 6: Final answer
    x = 519,998.40

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.