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Finding the Fourth Proportional to 516,225.48, 712,314.18 and 289,827.24

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Solution

The fourth proportional to 516,225.48, 712,314.18 and 289,827.24 is: 399,918.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,225.48 : 712,314.18 = 289,827.24 : x
  2. Step 2: Convert to fraction form
    516,225.48/712,314.18 = 289,827.24/x
  3. Step 3: Cross multiply
    516,225.48x = 712,314.18 × 289,827.24
  4. Step 4: Simplify right side
    516,225.48x = 206,448,052,802.26
  5. Step 5: Solve for x
    x = 206,448,052,802.26/516,225.48
  6. Step 6: Final answer
    x = 399,918.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.