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Finding the Fourth Proportional to 458,526.24, 632,766.56 and 257,322.24

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Solution

The fourth proportional to 458,526.24, 632,766.56 and 257,322.24 is: 355,104.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,526.24 : 632,766.56 = 257,322.24 : x
  2. Step 2: Convert to fraction form
    458,526.24/632,766.56 = 257,322.24/x
  3. Step 3: Cross multiply
    458,526.24x = 632,766.56 × 257,322.24
  4. Step 4: Simplify right side
    458,526.24x = 162,824,908,616.29
  5. Step 5: Solve for x
    x = 162,824,908,616.29/458,526.24
  6. Step 6: Final answer
    x = 355,104.89

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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.