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Finding the Fourth Proportional to 756,216, 1,043,599.95 and 416,706.12

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Solution

The fourth proportional to 756,216, 1,043,599.95 and 416,706.12 is: 575,066.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,216 : 1,043,599.95 = 416,706.12 : x
  2. Step 2: Convert to fraction form
    756,216/1,043,599.95 = 416,706.12/x
  3. Step 3: Cross multiply
    756,216x = 1,043,599.95 × 416,706.12
  4. Step 4: Simplify right side
    756,216x = 434,874,485,996.69
  5. Step 5: Solve for x
    x = 434,874,485,996.69/756,216
  6. Step 6: Final answer
    x = 575,066.50

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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.