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Finding the Fourth Proportional to 286,617.53, 429,987.42 and 97,071.27

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Solution

The fourth proportional to 286,617.53, 429,987.42 and 97,071.27 is: 145,627.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,617.53 : 429,987.42 = 97,071.27 : x
  2. Step 2: Convert to fraction form
    286,617.53/429,987.42 = 97,071.27/x
  3. Step 3: Cross multiply
    286,617.53x = 429,987.42 × 97,071.27
  4. Step 4: Simplify right side
    286,617.53x = 41,739,422,793.49
  5. Step 5: Solve for x
    x = 41,739,422,793.49/286,617.53
  6. Step 6: Final answer
    x = 145,627.60

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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.