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Finding the Fourth Proportional to 719,644.57, 993,167.93 and 413,820.36

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Solution

The fourth proportional to 719,644.57, 993,167.93 and 413,820.36 is: 571,105.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,644.57 : 993,167.93 = 413,820.36 : x
  2. Step 2: Convert to fraction form
    719,644.57/993,167.93 = 413,820.36/x
  3. Step 3: Cross multiply
    719,644.57x = 993,167.93 × 413,820.36
  4. Step 4: Simplify right side
    719,644.57x = 410,993,111,367.61
  5. Step 5: Solve for x
    x = 410,993,111,367.61/719,644.57
  6. Step 6: Final answer
    x = 571,105.70

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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.