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Finding the Fourth Proportional to 692,235.10, 1,036,279.05 and 411,607.90

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Solution

The fourth proportional to 692,235.10, 1,036,279.05 and 411,607.90 is: 616,178.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,235.10 : 1,036,279.05 = 411,607.90 : x
  2. Step 2: Convert to fraction form
    692,235.10/1,036,279.05 = 411,607.90/x
  3. Step 3: Cross multiply
    692,235.10x = 1,036,279.05 × 411,607.90
  4. Step 4: Simplify right side
    692,235.10x = 426,540,643,584.50
  5. Step 5: Solve for x
    x = 426,540,643,584.50/692,235.10
  6. Step 6: Final answer
    x = 616,178.87

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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.