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Finding the Fourth Proportional to 692,203.60, 1,036,231.80 and 411,576.40

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Solution

The fourth proportional to 692,203.60, 1,036,231.80 and 411,576.40 is: 616,131.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,203.60 : 1,036,231.80 = 411,576.40 : x
  2. Step 2: Convert to fraction form
    692,203.60/1,036,231.80 = 411,576.40/x
  3. Step 3: Cross multiply
    692,203.60x = 1,036,231.80 × 411,576.40
  4. Step 4: Simplify right side
    692,203.60x = 426,488,553,809.52
  5. Step 5: Solve for x
    x = 426,488,553,809.52/692,203.60
  6. Step 6: Final answer
    x = 616,131.66

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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.