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Finding the Fourth Proportional to 537,106.90, 804,969.15 and 411,826.90

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Solution

The fourth proportional to 537,106.90, 804,969.15 and 411,826.90 is: 617,210.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,106.90 : 804,969.15 = 411,826.90 : x
  2. Step 2: Convert to fraction form
    537,106.90/804,969.15 = 411,826.90/x
  3. Step 3: Cross multiply
    537,106.90x = 804,969.15 × 411,826.90
  4. Step 4: Simplify right side
    537,106.90x = 331,507,949,640.14
  5. Step 5: Solve for x
    x = 331,507,949,640.14/537,106.90
  6. Step 6: Final answer
    x = 617,210.37

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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.