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Finding the Fourth Proportional to 458,386.88, 632,584.80 and 257,197.76

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Solution

The fourth proportional to 458,386.88, 632,584.80 and 257,197.76 is: 354,939.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,386.88 : 632,584.80 = 257,197.76 : x
  2. Step 2: Convert to fraction form
    458,386.88/632,584.80 = 257,197.76/x
  3. Step 3: Cross multiply
    458,386.88x = 632,584.80 × 257,197.76
  4. Step 4: Simplify right side
    458,386.88x = 162,699,393,570.05
  5. Step 5: Solve for x
    x = 162,699,393,570.05/458,386.88
  6. Step 6: Final answer
    x = 354,939.03

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1.5x scale

Why These Related Problems?

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