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Finding the Fourth Proportional to 514,351.67, 709,780.64 and 284,893.47

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Solution

The fourth proportional to 514,351.67, 709,780.64 and 284,893.47 is: 393,139.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,351.67 : 709,780.64 = 284,893.47 : x
  2. Step 2: Convert to fraction form
    514,351.67/709,780.64 = 284,893.47/x
  3. Step 3: Cross multiply
    514,351.67x = 709,780.64 × 284,893.47
  4. Step 4: Simplify right side
    514,351.67x = 202,211,868,043.95
  5. Step 5: Solve for x
    x = 202,211,868,043.95/514,351.67
  6. Step 6: Final answer
    x = 393,139.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.