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Finding the Fourth Proportional to 289,216.89, 399,128.45 and 168,400.53

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Solution

The fourth proportional to 289,216.89, 399,128.45 and 168,400.53 is: 232,398.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,216.89 : 399,128.45 = 168,400.53 : x
  2. Step 2: Convert to fraction form
    289,216.89/399,128.45 = 168,400.53/x
  3. Step 3: Cross multiply
    289,216.89x = 399,128.45 × 168,400.53
  4. Step 4: Simplify right side
    289,216.89x = 67,213,441,676.08
  5. Step 5: Solve for x
    x = 67,213,441,676.08/289,216.89
  6. Step 6: Final answer
    x = 232,398.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.