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Finding the Fourth Proportional to 646,638.36, 892,567.74 and 417,202.08

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Solution

The fourth proportional to 646,638.36, 892,567.74 and 417,202.08 is: 575,872.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,638.36 : 892,567.74 = 417,202.08 : x
  2. Step 2: Convert to fraction form
    646,638.36/892,567.74 = 417,202.08/x
  3. Step 3: Cross multiply
    646,638.36x = 892,567.74 × 417,202.08
  4. Step 4: Simplify right side
    646,638.36x = 372,381,117,668.90
  5. Step 5: Solve for x
    x = 372,381,117,668.90/646,638.36
  6. Step 6: Final answer
    x = 575,872.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.