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Finding the Fourth Proportional to 458,302.50, 632,461.77 and 257,102.82

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Solution

The fourth proportional to 458,302.50, 632,461.77 and 257,102.82 is: 354,804.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,302.50 : 632,461.77 = 257,102.82 : x
  2. Step 2: Convert to fraction form
    458,302.50/632,461.77 = 257,102.82/x
  3. Step 3: Cross multiply
    458,302.50x = 632,461.77 × 257,102.82
  4. Step 4: Simplify right side
    458,302.50x = 162,607,704,609.19
  5. Step 5: Solve for x
    x = 162,607,704,609.19/458,302.50
  6. Step 6: Final answer
    x = 354,804.32

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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.