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Finding the Fourth Proportional to 719,645.32, 993,168.97 and 413,821.11

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Solution

The fourth proportional to 719,645.32, 993,168.97 and 413,821.11 is: 571,106.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,645.32 : 993,168.97 = 413,821.11 : x
  2. Step 2: Convert to fraction form
    719,645.32/993,168.97 = 413,821.11/x
  3. Step 3: Cross multiply
    719,645.32x = 993,168.97 × 413,821.11
  4. Step 4: Simplify right side
    719,645.32x = 410,994,284,548.40
  5. Step 5: Solve for x
    x = 410,994,284,548.40/719,645.32
  6. Step 6: Final answer
    x = 571,106.73

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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.