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Finding the Fourth Proportional to 531,468.54, 797,128.02 and 152,421.75

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Solution

The fourth proportional to 531,468.54, 797,128.02 and 152,421.75 is: 228,611.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,468.54 : 797,128.02 = 152,421.75 : x
  2. Step 2: Convert to fraction form
    531,468.54/797,128.02 = 152,421.75/x
  3. Step 3: Cross multiply
    531,468.54x = 797,128.02 × 152,421.75
  4. Step 4: Simplify right side
    531,468.54x = 121,499,647,782.44
  5. Step 5: Solve for x
    x = 121,499,647,782.44/531,468.54
  6. Step 6: Final answer
    x = 228,611.18

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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.