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Finding the Fourth Proportional to 458,204.40, 632,325.54 and 254,256.12

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Solution

The fourth proportional to 458,204.40, 632,325.54 and 254,256.12 is: 350,875.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,204.40 : 632,325.54 = 254,256.12 : x
  2. Step 2: Convert to fraction form
    458,204.40/632,325.54 = 254,256.12/x
  3. Step 3: Cross multiply
    458,204.40x = 632,325.54 × 254,256.12
  4. Step 4: Simplify right side
    458,204.40x = 160,772,638,377.31
  5. Step 5: Solve for x
    x = 160,772,638,377.31/458,204.40
  6. Step 6: Final answer
    x = 350,875.37

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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.