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Finding the Fourth Proportional to 514,382.59, 709,873.43 and 310,430.26

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Solution

The fourth proportional to 514,382.59, 709,873.43 and 310,430.26 is: 428,409.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,382.59 : 709,873.43 = 310,430.26 : x
  2. Step 2: Convert to fraction form
    514,382.59/709,873.43 = 310,430.26/x
  3. Step 3: Cross multiply
    514,382.59x = 709,873.43 × 310,430.26
  4. Step 4: Simplify right side
    514,382.59x = 220,366,193,441.99
  5. Step 5: Solve for x
    x = 220,366,193,441.99/514,382.59
  6. Step 6: Final answer
    x = 428,409.12

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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.