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Finding the Fourth Proportional to 289,403.76, 399,376.86 and 162,080.28

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Solution

The fourth proportional to 289,403.76, 399,376.86 and 162,080.28 is: 223,670.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,403.76 : 399,376.86 = 162,080.28 : x
  2. Step 2: Convert to fraction form
    289,403.76/399,376.86 = 162,080.28/x
  3. Step 3: Cross multiply
    289,403.76x = 399,376.86 × 162,080.28
  4. Step 4: Simplify right side
    289,403.76x = 64,731,113,294.32
  5. Step 5: Solve for x
    x = 64,731,113,294.32/289,403.76
  6. Step 6: Final answer
    x = 223,670.60

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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.