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Finding the Fourth Proportional to 458,320.25, 632,472.42 and 254,359.32

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Solution

The fourth proportional to 458,320.25, 632,472.42 and 254,359.32 is: 351,010.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,320.25 : 632,472.42 = 254,359.32 : x
  2. Step 2: Convert to fraction form
    458,320.25/632,472.42 = 254,359.32/x
  3. Step 3: Cross multiply
    458,320.25x = 632,472.42 × 254,359.32
  4. Step 4: Simplify right side
    458,320.25x = 160,875,254,669.95
  5. Step 5: Solve for x
    x = 160,875,254,669.95/458,320.25
  6. Step 6: Final answer
    x = 351,010.58

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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.