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Finding the Fourth Proportional to 458,222.24, 632,570.64 and 410,283.20

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Solution

The fourth proportional to 458,222.24, 632,570.64 and 410,283.20 is: 566,391.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,222.24 : 632,570.64 = 410,283.20 : x
  2. Step 2: Convert to fraction form
    458,222.24/632,570.64 = 410,283.20/x
  3. Step 3: Cross multiply
    458,222.24x = 632,570.64 × 410,283.20
  4. Step 4: Simplify right side
    458,222.24x = 259,533,106,405.25
  5. Step 5: Solve for x
    x = 259,533,106,405.25/458,222.24
  6. Step 6: Final answer
    x = 566,391.34

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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.