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Finding the Fourth Proportional to 461,302.20, 690,641.10 and 408,814.20

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Solution

The fourth proportional to 461,302.20, 690,641.10 and 408,814.20 is: 612,058.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,302.20 : 690,641.10 = 408,814.20 : x
  2. Step 2: Convert to fraction form
    461,302.20/690,641.10 = 408,814.20/x
  3. Step 3: Cross multiply
    461,302.20x = 690,641.10 × 408,814.20
  4. Step 4: Simplify right side
    461,302.20x = 282,343,888,783.62
  5. Step 5: Solve for x
    x = 282,343,888,783.62/461,302.20
  6. Step 6: Final answer
    x = 612,058.41

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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.