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Finding the Fourth Proportional to 287,771.86, 397,154.78 and 183,068.43

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Solution

The fourth proportional to 287,771.86, 397,154.78 and 183,068.43 is: 252,653.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,771.86 : 397,154.78 = 183,068.43 : x
  2. Step 2: Convert to fraction form
    287,771.86/397,154.78 = 183,068.43/x
  3. Step 3: Cross multiply
    287,771.86x = 397,154.78 × 183,068.43
  4. Step 4: Simplify right side
    287,771.86x = 72,706,502,041.60
  5. Step 5: Solve for x
    x = 72,706,502,041.60/287,771.86
  6. Step 6: Final answer
    x = 252,653.27

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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.