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Finding the Fourth Proportional to 299,421.55, 449,203.12 and 97,017.32

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Solution

The fourth proportional to 299,421.55, 449,203.12 and 97,017.32 is: 145,548.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,421.55 : 449,203.12 = 97,017.32 : x
  2. Step 2: Convert to fraction form
    299,421.55/449,203.12 = 97,017.32/x
  3. Step 3: Cross multiply
    299,421.55x = 449,203.12 × 97,017.32
  4. Step 4: Simplify right side
    299,421.55x = 43,580,482,455.12
  5. Step 5: Solve for x
    x = 43,580,482,455.12/299,421.55
  6. Step 6: Final answer
    x = 145,548.92

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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.