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Finding the Fourth Proportional to 405,111.20, 607,666.80 and 399,206.30

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Solution

The fourth proportional to 405,111.20, 607,666.80 and 399,206.30 is: 598,809.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,111.20 : 607,666.80 = 399,206.30 : x
  2. Step 2: Convert to fraction form
    405,111.20/607,666.80 = 399,206.30/x
  3. Step 3: Cross multiply
    405,111.20x = 607,666.80 × 399,206.30
  4. Step 4: Simplify right side
    405,111.20x = 242,584,414,860.84
  5. Step 5: Solve for x
    x = 242,584,414,860.84/405,111.20
  6. Step 6: Final answer
    x = 598,809.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.