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Finding the Fourth Proportional to 513,826.54, 709,065.95 and 284,393.23

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Solution

The fourth proportional to 513,826.54, 709,065.95 and 284,393.23 is: 392,454.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,826.54 : 709,065.95 = 284,393.23 : x
  2. Step 2: Convert to fraction form
    513,826.54/709,065.95 = 284,393.23/x
  3. Step 3: Cross multiply
    513,826.54x = 709,065.95 × 284,393.23
  4. Step 4: Simplify right side
    513,826.54x = 201,653,554,208.60
  5. Step 5: Solve for x
    x = 201,653,554,208.60/513,826.54
  6. Step 6: Final answer
    x = 392,454.53

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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.