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Finding the Fourth Proportional to 513,292.44, 708,348.12 and 283,865.28

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Solution

The fourth proportional to 513,292.44, 708,348.12 and 283,865.28 is: 391,736.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,292.44 : 708,348.12 = 283,865.28 : x
  2. Step 2: Convert to fraction form
    513,292.44/708,348.12 = 283,865.28/x
  3. Step 3: Cross multiply
    513,292.44x = 708,348.12 × 283,865.28
  4. Step 4: Simplify right side
    513,292.44x = 201,075,437,421.27
  5. Step 5: Solve for x
    x = 201,075,437,421.27/513,292.44
  6. Step 6: Final answer
    x = 391,736.60

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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.