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Finding the Fourth Proportional to 399,259.65, 598,391.08 and 199,637.13

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Solution

The fourth proportional to 399,259.65, 598,391.08 and 199,637.13 is: 299,206.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,259.65 : 598,391.08 = 199,637.13 : x
  2. Step 2: Convert to fraction form
    399,259.65/598,391.08 = 199,637.13/x
  3. Step 3: Cross multiply
    399,259.65x = 598,391.08 × 199,637.13
  4. Step 4: Simplify right side
    399,259.65x = 119,461,077,828.80
  5. Step 5: Solve for x
    x = 119,461,077,828.80/399,259.65
  6. Step 6: Final answer
    x = 299,206.49

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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.