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Finding the Fourth Proportional to 650,491.20, 975,736.80 and 414,003.60

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Solution

The fourth proportional to 650,491.20, 975,736.80 and 414,003.60 is: 621,005.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,491.20 : 975,736.80 = 414,003.60 : x
  2. Step 2: Convert to fraction form
    650,491.20/975,736.80 = 414,003.60/x
  3. Step 3: Cross multiply
    650,491.20x = 975,736.80 × 414,003.60
  4. Step 4: Simplify right side
    650,491.20x = 403,958,547,852.48
  5. Step 5: Solve for x
    x = 403,958,547,852.48/650,491.20
  6. Step 6: Final answer
    x = 621,005.40

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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.