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Finding the Fourth Proportional to 613,954.02, 921,069.08 and 187,454.16

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Solution

The fourth proportional to 613,954.02, 921,069.08 and 187,454.16 is: 281,223.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,954.02 : 921,069.08 = 187,454.16 : x
  2. Step 2: Convert to fraction form
    613,954.02/921,069.08 = 187,454.16/x
  3. Step 3: Cross multiply
    613,954.02x = 921,069.08 × 187,454.16
  4. Step 4: Simplify right side
    613,954.02x = 172,658,230,693.37
  5. Step 5: Solve for x
    x = 172,658,230,693.37/613,954.02
  6. Step 6: Final answer
    x = 281,223.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.