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Finding the Fourth Proportional to 299,497.10, 413,322.72 and 163,543.70

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Solution

The fourth proportional to 299,497.10, 413,322.72 and 163,543.70 is: 225,699.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,497.10 : 413,322.72 = 163,543.70 : x
  2. Step 2: Convert to fraction form
    299,497.10/413,322.72 = 163,543.70/x
  3. Step 3: Cross multiply
    299,497.10x = 413,322.72 × 163,543.70
  4. Step 4: Simplify right side
    299,497.10x = 67,596,326,922.86
  5. Step 5: Solve for x
    x = 67,596,326,922.86/299,497.10
  6. Step 6: Final answer
    x = 225,699.44

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