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Finding the Fourth Proportional to 1,651,332, 2,477,414.16 and 469,380

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Solution

The fourth proportional to 1,651,332, 2,477,414.16 and 469,380 is: 704,188.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651,332 : 2,477,414.16 = 469,380 : x
  2. Step 2: Convert to fraction form
    1,651,332/2,477,414.16 = 469,380/x
  3. Step 3: Cross multiply
    1,651,332x = 2,477,414.16 × 469,380
  4. Step 4: Simplify right side
    1,651,332x = 1,162,848,658,420.80
  5. Step 5: Solve for x
    x = 1,162,848,658,420.80/1,651,332
  6. Step 6: Final answer
    x = 704,188.29

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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.