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Finding the Fourth Proportional to 1,640,336.40, 2,291,156.55 and 1,640,336.40

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Solution

The fourth proportional to 1,640,336.40, 2,291,156.55 and 1,640,336.40 is: 2,291,156.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640,336.40 : 2,291,156.55 = 1,640,336.40 : x
  2. Step 2: Convert to fraction form
    1,640,336.40/2,291,156.55 = 1,640,336.40/x
  3. Step 3: Cross multiply
    1,640,336.40x = 2,291,156.55 × 1,640,336.40
  4. Step 4: Simplify right side
    1,640,336.40x = 3,758,267,487,063.42
  5. Step 5: Solve for x
    x = 3,758,267,487,063.42/1,640,336.40
  6. Step 6: Final answer
    x = 2,291,156.55

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.