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Finding the Fourth Proportional to 692,208.10, 1,036,238.55 and 411,580.90

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Solution

The fourth proportional to 692,208.10, 1,036,238.55 and 411,580.90 is: 616,138.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,208.10 : 1,036,238.55 = 411,580.90 : x
  2. Step 2: Convert to fraction form
    692,208.10/1,036,238.55 = 411,580.90/x
  3. Step 3: Cross multiply
    692,208.10x = 1,036,238.55 × 411,580.90
  4. Step 4: Simplify right side
    692,208.10x = 426,495,995,023.70
  5. Step 5: Solve for x
    x = 426,495,995,023.70/692,208.10
  6. Step 6: Final answer
    x = 616,138.41

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