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Finding the Fourth Proportional to 458,104, 687,199.74 and 142,476.16

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Solution

The fourth proportional to 458,104, 687,199.74 and 142,476.16 is: 213,727.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,104 : 687,199.74 = 142,476.16 : x
  2. Step 2: Convert to fraction form
    458,104/687,199.74 = 142,476.16/x
  3. Step 3: Cross multiply
    458,104x = 687,199.74 × 142,476.16
  4. Step 4: Simplify right side
    458,104x = 97,909,580,108.20
  5. Step 5: Solve for x
    x = 97,909,580,108.20/458,104
  6. Step 6: Final answer
    x = 213,727.84

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