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Finding the Fourth Proportional to 458,368.80, 632,532.24 and 254,428.80

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Solution

The fourth proportional to 458,368.80, 632,532.24 and 254,428.80 is: 351,102.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,368.80 : 632,532.24 = 254,428.80 : x
  2. Step 2: Convert to fraction form
    458,368.80/632,532.24 = 254,428.80/x
  3. Step 3: Cross multiply
    458,368.80x = 632,532.24 × 254,428.80
  4. Step 4: Simplify right side
    458,368.80x = 160,934,418,784.51
  5. Step 5: Solve for x
    x = 160,934,418,784.51/458,368.80
  6. Step 6: Final answer
    x = 351,102.47

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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.