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Finding the Fourth Proportional to 751,042, 1,036,437.96 and 411,522.40

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Solution

The fourth proportional to 751,042, 1,036,437.96 and 411,522.40 is: 567,900.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,042 : 1,036,437.96 = 411,522.40 : x
  2. Step 2: Convert to fraction form
    751,042/1,036,437.96 = 411,522.40/x
  3. Step 3: Cross multiply
    751,042x = 1,036,437.96 × 411,522.40
  4. Step 4: Simplify right side
    751,042x = 426,517,436,750.30
  5. Step 5: Solve for x
    x = 426,517,436,750.30/751,042
  6. Step 6: Final answer
    x = 567,900.91

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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.