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Finding the Fourth Proportional to 513,010.20, 719,985.75 and 513,010.20

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Solution

The fourth proportional to 513,010.20, 719,985.75 and 513,010.20 is: 719,985.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,010.20 : 719,985.75 = 513,010.20 : x
  2. Step 2: Convert to fraction form
    513,010.20/719,985.75 = 513,010.20/x
  3. Step 3: Cross multiply
    513,010.20x = 719,985.75 × 513,010.20
  4. Step 4: Simplify right side
    513,010.20x = 369,360,033,604.65
  5. Step 5: Solve for x
    x = 369,360,033,604.65/513,010.20
  6. Step 6: Final answer
    x = 719,985.75

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.