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Finding the Fourth Proportional to 917,322.80, 1,375,328.10 and 411,469.70

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Solution

The fourth proportional to 917,322.80, 1,375,328.10 and 411,469.70 is: 616,910.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,322.80 : 1,375,328.10 = 411,469.70 : x
  2. Step 2: Convert to fraction form
    917,322.80/1,375,328.10 = 411,469.70/x
  3. Step 3: Cross multiply
    917,322.80x = 1,375,328.10 × 411,469.70
  4. Step 4: Simplify right side
    917,322.80x = 565,905,840,708.57
  5. Step 5: Solve for x
    x = 565,905,840,708.57/917,322.80
  6. Step 6: Final answer
    x = 616,910.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.