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Finding the Fourth Proportional to 301,468.36, 452,266.54 and 114,475.72

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Solution

The fourth proportional to 301,468.36, 452,266.54 and 114,475.72 is: 171,737.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,468.36 : 452,266.54 = 114,475.72 : x
  2. Step 2: Convert to fraction form
    301,468.36/452,266.54 = 114,475.72/x
  3. Step 3: Cross multiply
    301,468.36x = 452,266.54 × 114,475.72
  4. Step 4: Simplify right side
    301,468.36x = 51,773,537,798.41
  5. Step 5: Solve for x
    x = 51,773,537,798.41/301,468.36
  6. Step 6: Final answer
    x = 171,737.88

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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.