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Finding the Fourth Proportional to 286,842.27, 430,116.51 and 168,549.15

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Solution

The fourth proportional to 286,842.27, 430,116.51 and 168,549.15 is: 252,737.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,842.27 : 430,116.51 = 168,549.15 : x
  2. Step 2: Convert to fraction form
    286,842.27/430,116.51 = 168,549.15/x
  3. Step 3: Cross multiply
    286,842.27x = 430,116.51 × 168,549.15
  4. Step 4: Simplify right side
    286,842.27x = 72,495,772,161.47
  5. Step 5: Solve for x
    x = 72,495,772,161.47/286,842.27
  6. Step 6: Final answer
    x = 252,737.41

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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.