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Finding the Fourth Proportional to 261,509.25, 392,405.63 and 202,460.25

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Solution

The fourth proportional to 261,509.25, 392,405.63 and 202,460.25 is: 303,800.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,509.25 : 392,405.63 = 202,460.25 : x
  2. Step 2: Convert to fraction form
    261,509.25/392,405.63 = 202,460.25/x
  3. Step 3: Cross multiply
    261,509.25x = 392,405.63 × 202,460.25
  4. Step 4: Simplify right side
    261,509.25x = 79,446,540,938.91
  5. Step 5: Solve for x
    x = 79,446,540,938.91/261,509.25
  6. Step 6: Final answer
    x = 303,800.12

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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.